Atkin-Lehner |
3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975z |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1065600 |
Modular degree for the optimal curve |
Δ |
-344106317548828125 = -1 · 311 · 510 · 193 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -2 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-427617,111375166] |
[a1,a2,a3,a4,a6] |
Generators |
[-462:14728:1] |
Generators of the group modulo torsion |
j |
-1214679211225/48335373 |
j-invariant |
L |
8.8523228517859 |
L(r)(E,1)/r! |
Ω |
0.30120918987192 |
Real period |
R |
4.8982142278784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41325f1 123975bl1 |
Quadratic twists by: -3 5 |