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 |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
51450317329617 = 32 · 238 · 73 |
Discriminant |
Eigenvalues |
1 3+ -2 2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12971,-457344] |
[a1,a2,a3,a4,a6] |
Generators |
[2156:98918:1] |
Generators of the group modulo torsion |
j |
1630532233/347553 |
j-invariant |
L |
6.4990371297176 |
L(r)(E,1)/r! |
Ω |
0.45410639435121 |
Real period |
R |
7.1558528897059 |
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 |
5037f1 |
Quadratic twists by: -23 |