Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050ca |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
390720000000 = 212 · 3 · 57 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3713,81417] |
[a1,a2,a3,a4,a6] |
j |
362314607689/25006080 |
j-invariant |
L |
5.5885006946369 |
L(r)(E,1)/r! |
Ω |
0.93141678226641 |
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 |
12210a1 |
Quadratic twists by: 5 |