Atkin-Lehner |
2+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36946g |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
471744 |
Modular degree for the optimal curve |
Δ |
-8861628258689024 = -1 · 213 · 76 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -6 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-527118,-147591884] |
[a1,a2,a3,a4,a6] |
Generators |
[4683:314063:1] |
Generators of the group modulo torsion |
j |
-137676653031953881/75322597376 |
j-invariant |
L |
2.130394308174 |
L(r)(E,1)/r! |
Ω |
0.088588681690457 |
Real period |
R |
6.0120386360932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
754b1 |
Quadratic twists by: -7 |