Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608cv |
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 |
[193:2688:1] |
Generators of the group modulo torsion |
j |
-2/1947 |
j-invariant |
L |
7.3711756499749 |
L(r)(E,1)/r! |
Ω |
0.80113872787431 |
Real period |
R |
4.6004364650538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608p1 31152c1 |
Quadratic twists by: -4 8 |