Atkin-Lehner |
2+ 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116242c |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4802400 |
Modular degree for the optimal curve |
Δ |
-4.5251520271247E+20 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 5 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7980046,8736220096] |
[a1,a2,a3,a4,a6] |
j |
-155679925959005140896625/1253504716655034368 |
j-invariant |
L |
0.67077084551105 |
L(r)(E,1)/r! |
Ω |
0.16769261366361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116242o1 |
Quadratic twists by: -19 |