Atkin-Lehner |
2+ 3- 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370h |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12812800 |
Modular degree for the optimal curve |
Δ |
-1.8719226566312E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30171411,16246609573] |
[a1,a2,a3,a4,a6] |
Generators |
[646:1093177:8] |
Generators of the group modulo torsion |
j |
4166611790519276825869871/2567795139411840000000 |
j-invariant |
L |
4.5755725609523 |
L(r)(E,1)/r! |
Ω |
0.051459053579394 |
Real period |
R |
3.1755987409054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23790j1 |
Quadratic twists by: -3 |