Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270x |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
33177600 |
Modular degree for the optimal curve |
Δ |
-5.099582947016E+27 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,429670127,-230026433919] |
[a1,a2,a3,a4,a6] |
Generators |
[115173:39653816:1] |
Generators of the group modulo torsion |
j |
9884598436907013225951/5745985122304000000 |
j-invariant |
L |
6.1733635389738 |
L(r)(E,1)/r! |
Ω |
0.02552017920805 |
Real period |
R |
3.3597397399223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170i1 |
Quadratic twists by: -31 |