Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608p |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-255197184 = -1 · 217 · 3 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11- 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,769] |
[a1,a2,a3,a4,a6] |
Generators |
[3:28:1] |
Generators of the group modulo torsion |
j |
-2/1947 |
j-invariant |
L |
5.5630982606255 |
L(r)(E,1)/r! |
Ω |
1.3921407629967 |
Real period |
R |
1.998037258459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608cv1 15576i1 |
Quadratic twists by: -4 8 |