Atkin-Lehner |
5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35075b |
Isogeny class |
Conductor |
35075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18984 |
Modular degree for the optimal curve |
Δ |
-35075 = -1 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
2 1 5+ 1 4 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2048,34999] |
[a1,a2,a3,a4,a6] |
Generators |
[5982:3565:216] |
Generators of the group modulo torsion |
j |
-38017679134720/1403 |
j-invariant |
L |
14.421345365 |
L(r)(E,1)/r! |
Ω |
2.7132600713312 |
Real period |
R |
5.3151356618474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35075g1 |
Quadratic twists by: 5 |