Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351r |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-9.9672598729223E+22 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17407104,-31815408465] |
[a1,a2,a3,a4,a6] |
Generators |
[6566991:16825377126:1] |
Generators of the group modulo torsion |
j |
-4958097305022070119793/847203110347076847 |
j-invariant |
L |
4.5253826153803 |
L(r)(E,1)/r! |
Ω |
0.036614336221494 |
Real period |
R |
7.7247450802614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953064 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11193a1 |
Quadratic twists by: -7 |