Atkin-Lehner |
2+ 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850c |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-24968800000000 = -1 · 211 · 58 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ 5 -3 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3125,232125] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:1665:8] |
Generators of the group modulo torsion |
j |
215892017999/1598003200 |
j-invariant |
L |
8.4878769473659 |
L(r)(E,1)/r! |
Ω |
0.48924974846108 |
Real period |
R |
4.3371902458574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570f1 |
Quadratic twists by: 5 |