Atkin-Lehner |
2- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670q |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-2158548984800000 = -1 · 28 · 55 · 137 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-110276,14225349] |
[a1,a2,a3,a4,a6] |
Generators |
[213:569:1] |
Generators of the group modulo torsion |
j |
-30726058889161/447200000 |
j-invariant |
L |
8.3103170240297 |
L(r)(E,1)/r! |
Ω |
0.46444470688065 |
Real period |
R |
0.55915678046613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590c1 |
Quadratic twists by: 13 |