Atkin-Lehner |
3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73515b |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52157952 |
Modular degree for the optimal curve |
Δ |
-3.84672907283E+24 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 4 1 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-933010186,-10969363988958] |
[a1,a2,a3,a4,a6] |
Generators |
[22880222103324132247795007944901884196647208445585180872141858466282212019:12135477825884100135803064815606742904822460545396419702667388386491456592349:80358057865786181914794364302026971577670351039745226097501754893313] |
Generators of the group modulo torsion |
j |
-18608987926069910266802176/796950754179415875 |
j-invariant |
L |
3.1220841587763 |
L(r)(E,1)/r! |
Ω |
0.013658306263366 |
Real period |
R |
114.29250811099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5655d1 |
Quadratic twists by: 13 |