Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67416d |
Isogeny class |
Conductor |
67416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
584064 |
Modular degree for the optimal curve |
Δ |
-7217425243158528 = -1 · 211 · 3 · 537 |
Discriminant |
Eigenvalues |
2+ 3+ -4 1 -5 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45880,5584396] |
[a1,a2,a3,a4,a6] |
Generators |
[813:22472:1] |
Generators of the group modulo torsion |
j |
-235298/159 |
j-invariant |
L |
2.8094059681323 |
L(r)(E,1)/r! |
Ω |
0.38641028110609 |
Real period |
R |
1.8176314828813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1272b1 |
Quadratic twists by: 53 |