Atkin-Lehner |
3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925g |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
22619520 |
Modular degree for the optimal curve |
Δ |
2.9543653735829E+26 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 -3 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-307149983,-1899631522507] |
[a1,a2,a3,a4,a6] |
Generators |
[-9587:404693:1] |
Generators of the group modulo torsion |
j |
205095047944763221180383232/18907938390930371630541 |
j-invariant |
L |
2.3704725017239 |
L(r)(E,1)/r! |
Ω |
0.036275896178762 |
Real period |
R |
4.6675473869928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397b1 |
Quadratic twists by: 5 |