Atkin-Lehner |
2+ 3- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390u |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
67412530298880 = 218 · 310 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -2 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13869,-485595] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:299:1] |
Generators of the group modulo torsion |
j |
404714945312209/92472606720 |
j-invariant |
L |
2.7875487942875 |
L(r)(E,1)/r! |
Ω |
0.44715391071643 |
Real period |
R |
1.5584951427334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130v1 |
Quadratic twists by: -3 |