Atkin-Lehner |
5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35075f |
Isogeny class |
Conductor |
35075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17640 |
Modular degree for the optimal curve |
Δ |
-548046875 = -1 · 58 · 23 · 61 |
Discriminant |
Eigenvalues |
0 1 5- 4 3 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2333,42619] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:255:1] |
Generators of the group modulo torsion |
j |
-3596615680/1403 |
j-invariant |
L |
6.9436334489731 |
L(r)(E,1)/r! |
Ω |
1.6133133900999 |
Real period |
R |
4.3039582337709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35075a1 |
Quadratic twists by: 5 |