Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10150o |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-6828920000 = -1 · 26 · 54 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-888,-11008] |
[a1,a2,a3,a4,a6] |
Generators |
[82:644:1] |
Generators of the group modulo torsion |
j |
-123911940625/10926272 |
j-invariant |
L |
7.7009352894211 |
L(r)(E,1)/r! |
Ω |
0.43509542809216 |
Real period |
R |
2.9499027846178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81200cc1 91350cp1 10150b1 71050cm1 |
Quadratic twists by: -4 -3 5 -7 |