Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984x |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-34143234048 = -1 · 211 · 39 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,8206] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:54:1] |
Generators of the group modulo torsion |
j |
48334/189 |
j-invariant |
L |
5.0400071054591 |
L(r)(E,1)/r! |
Ω |
0.82906768040424 |
Real period |
R |
1.5197815645102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968ce1 20328y1 60984ci1 |
Quadratic twists by: -4 -3 -11 |