Atkin-Lehner |
3+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74175g |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
21122490234375 = 37 · 510 · 23 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -2 1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9700,-297875] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:125:1] [204:2401:1] |
Generators of the group modulo torsion |
j |
10337340625/2162943 |
j-invariant |
L |
11.150291758398 |
L(r)(E,1)/r! |
Ω |
0.48816325119927 |
Real period |
R |
22.841317389095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74175v1 |
Quadratic twists by: 5 |