Atkin-Lehner |
5+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525n |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2649600 |
Modular degree for the optimal curve |
Δ |
-7.2260147925342E+19 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 0 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1038492,36346668] |
[a1,a2,a3,a4,a6] |
Generators |
[3307:-199063:1] |
Generators of the group modulo torsion |
j |
7927070740761227264/4624649467221875 |
j-invariant |
L |
2.2683021550027 |
L(r)(E,1)/r! |
Ω |
0.11747106042862 |
Real period |
R |
0.24136818759335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105a1 |
Quadratic twists by: 5 |