Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880bk |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
8755200 |
Modular degree for the optimal curve |
Δ |
11627882200000 = 26 · 55 · 115 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11- -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-671045827,-6690774353796] |
[a1,a2,a3,a4,a6] |
Generators |
[306648860382:-347764926574065:238328] |
Generators of the group modulo torsion |
j |
522156006392624491964585961024/181685659375 |
j-invariant |
L |
7.2139517420179 |
L(r)(E,1)/r! |
Ω |
0.029662756705385 |
Real period |
R |
19.455917230591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bd1 33440u2 |
Quadratic twists by: -4 8 |