Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7600o |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-60800000000 = -1 · 213 · 58 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-10688] |
[a1,a2,a3,a4,a6] |
Generators |
[32:200:1] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
3.3363275486889 |
L(r)(E,1)/r! |
Ω |
0.57095958805836 |
Real period |
R |
0.73042112315571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
950d1 30400bd1 68400fe1 1520h1 |
Quadratic twists by: -4 8 -3 5 |