Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602o |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
757120 |
Modular degree for the optimal curve |
Δ |
-12602185291874304 = -1 · 214 · 313 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -6 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41199,-6304587] |
[a1,a2,a3,a4,a6] |
j |
-112210326265337/182849716224 |
j-invariant |
L |
4.4410022362189 |
L(r)(E,1)/r! |
Ω |
0.15860722274599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602bp1 |
Quadratic twists by: 41 |