Atkin-Lehner |
3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025g |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
745637946075 = 33 · 52 · 115 · 193 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 11- 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2352,14801] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:229:1] |
Generators of the group modulo torsion |
j |
2132238360915/1104648809 |
j-invariant |
L |
8.5944385923083 |
L(r)(E,1)/r! |
Ω |
0.79224662756007 |
Real period |
R |
0.36160619236986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025c1 47025l1 |
Quadratic twists by: -3 5 |