Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430ez |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
7574863806720 = 28 · 37 · 5 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5522,87441] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:471:1] |
Generators of the group modulo torsion |
j |
217081801/88320 |
j-invariant |
L |
11.285240135279 |
L(r)(E,1)/r! |
Ω |
0.6727203251554 |
Real period |
R |
1.0484706357697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810k1 2070n1 |
Quadratic twists by: -3 -7 |