Atkin-Lehner |
3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37107d |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1.0200146364178E+19 |
Discriminant |
Eigenvalues |
0 3- -2 7+ 2 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2600526,1621432687] |
[a1,a2,a3,a4,a6] |
Generators |
[521:20198:1] |
Generators of the group modulo torsion |
j |
-2667962889590455042048/13991970321231147 |
j-invariant |
L |
3.1634598073977 |
L(r)(E,1)/r! |
Ω |
0.23005486923729 |
Real period |
R |
6.8754463182726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12369a1 |
Quadratic twists by: -3 |