Atkin-Lehner |
2+ 3+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21402a |
Isogeny class |
Conductor |
21402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
-88957193158656 = -1 · 217 · 39 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 6 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1284,-453808] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1243:1] |
Generators of the group modulo torsion |
j |
-11899199187/4519493632 |
j-invariant |
L |
3.8796600045003 |
L(r)(E,1)/r! |
Ω |
0.27087028720811 |
Real period |
R |
3.5807360457364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21402d1 |
Quadratic twists by: -3 |