Atkin-Lehner |
2+ 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568i |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
6800905216 = 210 · 73 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ -4 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-222024,40192964] |
[a1,a2,a3,a4,a6] |
Generators |
[280:238:1] |
Generators of the group modulo torsion |
j |
1182021781646924068/6641509 |
j-invariant |
L |
10.055001246052 |
L(r)(E,1)/r! |
Ω |
0.90677930826367 |
Real period |
R |
1.3860871481869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63784m1 |
Quadratic twists by: -4 |