Atkin-Lehner |
2+ 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312a |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12701946146193408 = 226 · 3 · 134 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-251553,48341793] |
[a1,a2,a3,a4,a6] |
Generators |
[-2438:78631:8] |
Generators of the group modulo torsion |
j |
6715432988979625/48454079232 |
j-invariant |
L |
4.8079229680404 |
L(r)(E,1)/r! |
Ω |
0.40167914406862 |
Real period |
R |
5.9847804328027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312cs2 3666i2 |
Quadratic twists by: -4 8 |