Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350ba |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-1435984200 = -1 · 23 · 37 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,209,1418] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:32:1] |
Generators of the group modulo torsion |
j |
40663636655/57439368 |
j-invariant |
L |
5.2233780752484 |
L(r)(E,1)/r! |
Ω |
1.0250573749311 |
Real period |
R |
0.36397809823843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350cm1 |
Quadratic twists by: 5 |