Atkin-Lehner |
2+ 3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544f |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
5882112 = 28 · 33 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -4 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-855,9622] |
[a1,a2,a3,a4,a6] |
Generators |
[18:8:1] |
Generators of the group modulo torsion |
j |
10000422000/851 |
j-invariant |
L |
4.0680675739524 |
L(r)(E,1)/r! |
Ω |
2.2875428674892 |
Real period |
R |
1.7783568562568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61272b1 122544c1 |
Quadratic twists by: -4 -3 |