Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678n |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
1734534031104 = 28 · 36 · 76 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 2 5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3831,66653] |
[a1,a2,a3,a4,a6] |
j |
72511713/20224 |
j-invariant |
L |
1.5631858601989 |
L(r)(E,1)/r! |
Ω |
0.78159293176861 |
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 |
7742n1 1422d1 |
Quadratic twists by: -3 -7 |