Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312ca |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-93598969298688 = -1 · 28 · 37 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8673,-346430] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-882:1] |
Generators of the group modulo torsion |
j |
3286064/4263 |
j-invariant |
L |
4.0410695004481 |
L(r)(E,1)/r! |
Ω |
0.32126377400383 |
Real period |
R |
0.78616658694262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999962826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34104r1 14616n1 |
Quadratic twists by: -3 -7 |