Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560bd |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-7490992047390720 = -1 · 231 · 37 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 4 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117936,-16096320] |
[a1,a2,a3,a4,a6] |
Generators |
[335538327226:19530592897778:97972181] |
Generators of the group modulo torsion |
j |
-44290096667854129/1828855480320 |
j-invariant |
L |
5.080693164714 |
L(r)(E,1)/r! |
Ω |
0.1285016582089 |
Real period |
R |
19.768978998133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570y1 |
Quadratic twists by: -4 |