Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bg |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-294319111680 = -1 · 29 · 311 · 5 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1237,19707] |
[a1,a2,a3,a4,a6] |
Generators |
[35:306:1] |
Generators of the group modulo torsion |
j |
287365339799/403729920 |
j-invariant |
L |
7.5249617169293 |
L(r)(E,1)/r! |
Ω |
0.65758519516938 |
Real period |
R |
0.31787016478699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19470f1 |
Quadratic twists by: -3 |