Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976ba |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
712704 |
Modular degree for the optimal curve |
Δ |
-409903351345152 = -1 · 212 · 314 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 -4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15432,-635920] |
[a1,a2,a3,a4,a6] |
Generators |
[77180:1953684:125] |
Generators of the group modulo torsion |
j |
136114025984/137275803 |
j-invariant |
L |
8.7988842172393 |
L(r)(E,1)/r! |
Ω |
0.28916706734099 |
Real period |
R |
7.6070939795635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976bm1 40992a1 |
Quadratic twists by: -4 -3 |