Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330bd |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-251081915923800000 = -1 · 26 · 34 · 55 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,156321,3923506] |
[a1,a2,a3,a4,a6] |
Generators |
[1750:54891:8] |
Generators of the group modulo torsion |
j |
87522470053199/52018200000 |
j-invariant |
L |
6.5084135023095 |
L(r)(E,1)/r! |
Ω |
0.19014891883293 |
Real period |
R |
4.2784975699935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410x1 |
Quadratic twists by: 13 |