Atkin-Lehner |
5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2405c |
Isogeny class |
Conductor |
2405 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
82559140625 = 57 · 134 · 37 |
Discriminant |
Eigenvalues |
-1 2 5- -2 0 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60165,5655122] |
[a1,a2,a3,a4,a6] |
Generators |
[132:121:1] |
Generators of the group modulo torsion |
j |
24085514417143530961/82559140625 |
j-invariant |
L |
2.8184507374795 |
L(r)(E,1)/r! |
Ω |
0.94564009552497 |
Real period |
R |
0.85156249517193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38480u1 21645g1 12025c1 117845h1 |
Quadratic twists by: -4 -3 5 -7 |