Atkin-Lehner |
3+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115851p |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54432944421189 = 3 · 237 · 732 |
Discriminant |
Eigenvalues |
1 3+ -2 2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-195476,-33344745] |
[a1,a2,a3,a4,a6] |
Generators |
[38210198:1722826503:17576] |
Generators of the group modulo torsion |
j |
5580080934553/367701 |
j-invariant |
L |
6.4990371297176 |
L(r)(E,1)/r! |
Ω |
0.22705319717561 |
Real period |
R |
14.311705779412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037f2 |
Quadratic twists by: -23 |