Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ea |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1918831778919014400 = -1 · 213 · 314 · 52 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,140253,-63506014] |
[a1,a2,a3,a4,a6] |
Generators |
[407:7810:1] [815:24334:1] |
Generators of the group modulo torsion |
j |
102181603702751/642612880350 |
j-invariant |
L |
12.319551098539 |
L(r)(E,1)/r! |
Ω |
0.13141526380453 |
Real period |
R |
11.718150864526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bc4 38640bj3 |
Quadratic twists by: -4 -3 |