Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980t |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-5328222552656640 = -1 · 28 · 36 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5859,-3505761] |
[a1,a2,a3,a4,a6] |
j |
106496/25515 |
j-invariant |
L |
1.2126890360563 |
L(r)(E,1)/r! |
Ω |
0.20211483734372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70980z1 |
Quadratic twists by: 13 |