Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078j |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-29539426063859712 = -1 · 214 · 32 · 73 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68448,10736640] |
[a1,a2,a3,a4,a6] |
j |
-7347774183121/6119866368 |
j-invariant |
L |
1.3648382006523 |
L(r)(E,1)/r! |
Ω |
0.34120954640251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462e1 |
Quadratic twists by: 13 |