Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834l |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75600 |
Modular degree for the optimal curve |
Δ |
-120409458048 = -1 · 27 · 32 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -4 1 11- 1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-607,-17915] |
[a1,a2,a3,a4,a6] |
Generators |
[37:91:1] |
Generators of the group modulo torsion |
j |
-13997521/67968 |
j-invariant |
L |
3.0298941192614 |
L(r)(E,1)/r! |
Ω |
0.43470341252431 |
Real period |
R |
3.4850130364381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128502bv1 354f1 |
Quadratic twists by: -3 -11 |