Atkin-Lehner |
3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7395a |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
9.9534113797647E+18 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 2 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-557063,50460528] |
[a1,a2,a3,a4,a6] |
j |
19117798122807388134649/9953411379764732505 |
j-invariant |
L |
0.80676450796222 |
L(r)(E,1)/r! |
Ω |
0.20169112699055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320ch1 22185s1 36975v1 125715bd1 |
Quadratic twists by: -4 -3 5 17 |