Atkin-Lehner |
2- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60680h |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
491779846400 = 28 · 52 · 374 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9140,337700] |
[a1,a2,a3,a4,a6] |
Generators |
[52:18:1] |
Generators of the group modulo torsion |
j |
329890530231376/1921015025 |
j-invariant |
L |
9.8213634066884 |
L(r)(E,1)/r! |
Ω |
0.93668549573121 |
Real period |
R |
2.6213076457822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360f1 |
Quadratic twists by: -4 |