Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590ca |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
4200 |
Product of Tamagawa factors cp |
deg |
294067200 |
Modular degree for the optimal curve |
Δ |
-3.4652306155009E+32 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10716086902,-787294912130103] |
[a1,a2,a3,a4,a6] |
Generators |
[862353:805636023:1] |
Generators of the group modulo torsion |
j |
186683039988069032606874152451239/475340276474740112810311680000 |
j-invariant |
L |
10.188983806711 |
L(r)(E,1)/r! |
Ω |
0.0087979310718686 |
Real period |
R |
0.27574079697984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530h1 |
Quadratic twists by: -3 |