Atkin-Lehner |
2+ 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238z |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-5407153449984 = -1 · 210 · 36 · 11 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11+ 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1305,-110723] |
[a1,a2,a3,a4,a6] |
j |
337008232079/7417220096 |
j-invariant |
L |
2.2211505282556 |
L(r)(E,1)/r! |
Ω |
0.37019174455347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582m1 |
Quadratic twists by: -3 |