Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632m |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-15508296580096 = -1 · 210 · 232 · 315 |
Discriminant |
Eigenvalues |
2+ -2 -3 1 -2 0 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4857,-231569] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2139:1] |
Generators of the group modulo torsion |
j |
-12377059508992/15144820879 |
j-invariant |
L |
2.9966304756115 |
L(r)(E,1)/r! |
Ω |
0.27322618930133 |
Real period |
R |
1.0967581414023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632p1 2852b1 |
Quadratic twists by: -4 8 |