Atkin-Lehner |
2- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850r |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-123447500000 = -1 · 25 · 57 · 11 · 672 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11+ -4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,870,13497] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:55:1] [5:-137:1] |
Generators of the group modulo torsion |
j |
4665834711/7900640 |
j-invariant |
L |
7.7045990541386 |
L(r)(E,1)/r! |
Ω |
0.71534885239142 |
Real period |
R |
0.26926020180168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370a1 |
Quadratic twists by: 5 |