Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bi |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-69352464384 = -1 · 213 · 37 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 6 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13208,587675] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-71:1] |
Generators of the group modulo torsion |
j |
-7133135240329/1941504 |
j-invariant |
L |
7.9245602838458 |
L(r)(E,1)/r! |
Ω |
1.0714490880733 |
Real period |
R |
0.14223297380898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23226n1 69678y1 |
Quadratic twists by: -3 -7 |