Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bd |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
10 |
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 |
[820685734:4255575:54872] |
Generators of the group modulo torsion |
j |
522156006392624491964585961024/181685659375 |
j-invariant |
L |
4.2028156242099 |
L(r)(E,1)/r! |
Ω |
0.20065189082027 |
Real period |
R |
8.3783224904154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bk1 33440g2 |
Quadratic twists by: -4 8 |