Atkin-Lehner |
2+ 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678h |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
1858004535195648 = 211 · 314 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 5 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37935,-1936467] |
[a1,a2,a3,a4,a6] |
Generators |
[219:363:1] |
Generators of the group modulo torsion |
j |
3449298095761/1061517312 |
j-invariant |
L |
7.1065983967963 |
L(r)(E,1)/r! |
Ω |
0.35030045717603 |
Real period |
R |
3.3811918932491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23226w1 69678q1 |
Quadratic twists by: -3 -7 |