Atkin-Lehner |
2+ 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950j |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
2408616000000000 = 212 · 36 · 59 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-73075,-7257875] |
[a1,a2,a3,a4,a6] |
j |
22095784790981/1233211392 |
j-invariant |
L |
0.58276732916771 |
L(r)(E,1)/r! |
Ω |
0.29138366446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950cn1 |
Quadratic twists by: 5 |