Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bk |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-82078414018736616 = -1 · 23 · 311 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -3 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,35233,13561517] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:2272:1] |
Generators of the group modulo torsion |
j |
1002101470343/17004694824 |
j-invariant |
L |
4.9474302968761 |
L(r)(E,1)/r! |
Ω |
0.25461745465788 |
Real period |
R |
1.6192364290195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538e1 |
Quadratic twists by: 13 |