Atkin-Lehner |
2- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
67100j |
Isogeny class |
Conductor |
67100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-4193750000 = -1 · 24 · 58 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- -2 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,342,-2063] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-125:1] [7:25:1] |
Generators of the group modulo torsion |
j |
17643776/16775 |
j-invariant |
L |
7.7923670929292 |
L(r)(E,1)/r! |
Ω |
0.75698846121517 |
Real period |
R |
0.85782539323022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420d1 |
Quadratic twists by: 5 |