Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2178g |
Isogeny class |
Conductor |
2178 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1018633402512 = 24 · 33 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10550,-411595] |
[a1,a2,a3,a4,a6] |
Generators |
[531:11713:1] |
Generators of the group modulo torsion |
j |
2714704875/21296 |
j-invariant |
L |
4.2024634014843 |
L(r)(E,1)/r! |
Ω |
0.47129745298171 |
Real period |
R |
1.1145995418862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17424bd1 69696l1 2178a3 54450k1 |
Quadratic twists by: -4 8 -3 5 |