Atkin-Lehner |
3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975bb |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
5607471983207102325 = 313 · 52 · 193 · 295 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 -3 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-446540,-14403918] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:9366:1] |
Generators of the group modulo torsion |
j |
540301741641858145/307680218557317 |
j-invariant |
L |
3.9575730339667 |
L(r)(E,1)/r! |
Ω |
0.19969044504312 |
Real period |
R |
1.6515449952122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999311061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41325e1 123975bk1 |
Quadratic twists by: -3 5 |