Atkin-Lehner |
3+ 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
98637i |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
2544048 |
Modular degree for the optimal curve |
Δ |
2786086438151663493 = 33 · 72 · 1113 · 61 |
Discriminant |
Eigenvalues |
0 3+ 4 7- 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1612291,784411179] |
[a1,a2,a3,a4,a6] |
j |
9459282386466910928896/56858906901054357 |
j-invariant |
L |
3.3325102880944 |
L(r)(E,1)/r! |
Ω |
0.25634696180891 |
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 |
98637m1 |
Quadratic twists by: -7 |