Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520w |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-946339840 = -1 · 219 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1292,-17936] |
[a1,a2,a3,a4,a6] |
Generators |
[510:11488:1] |
Generators of the group modulo torsion |
j |
-2520369/10 |
j-invariant |
L |
6.4033708794529 |
L(r)(E,1)/r! |
Ω |
0.39806207356314 |
Real period |
R |
4.0215906524228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520co1 3610b1 115520r1 |
Quadratic twists by: -4 8 -19 |