Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2415b |
Isogeny class |
Conductor |
2415 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
14000 |
Modular degree for the optimal curve |
Δ |
-32201176731237675 = -1 · 35 · 52 · 77 · 235 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -3 0 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-98651,14756141] |
[a1,a2,a3,a4,a6] |
Generators |
[493:-9258:1] |
Generators of the group modulo torsion |
j |
-106177523183250079744/32201176731237675 |
j-invariant |
L |
2.1313816588294 |
L(r)(E,1)/r! |
Ω |
0.35007370523661 |
Real period |
R |
0.086976853606498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38640ck1 7245r1 12075q1 16905bb1 |
Quadratic twists by: -4 -3 5 -7 |