Atkin-Lehner |
2+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630k |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-100358930650 = -1 · 2 · 52 · 117 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 11- -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2423,48156] |
[a1,a2,a3,a4,a6] |
Generators |
[32:44:1] |
Generators of the group modulo torsion |
j |
-887503681/56650 |
j-invariant |
L |
3.932126156142 |
L(r)(E,1)/r! |
Ω |
1.0472395530975 |
Real period |
R |
0.46934417813959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996369178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330k1 |
Quadratic twists by: -11 |