Atkin-Lehner |
2+ 3- 37- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55278c |
Isogeny class |
Conductor |
55278 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90240 |
Modular degree for the optimal curve |
Δ |
2292489216 = 210 · 36 · 37 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 0 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27090,1722964] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-43:1] |
Generators of the group modulo torsion |
j |
3016006107236641/3144704 |
j-invariant |
L |
4.717246471719 |
L(r)(E,1)/r! |
Ω |
1.224893413149 |
Real period |
R |
0.96278713336461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6142b1 |
Quadratic twists by: -3 |