Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030s |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
2.0657059643787E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-712927,-76405049] |
[a1,a2,a3,a4,a6] |
Generators |
[-749:6454:1] |
Generators of the group modulo torsion |
j |
270701905514769/139540889600 |
j-invariant |
L |
9.5201002815754 |
L(r)(E,1)/r! |
Ω |
0.17372714021662 |
Real period |
R |
3.4249471145183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1610b1 |
Quadratic twists by: -23 |