Atkin-Lehner |
2+ 3- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650bc |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
58699080000 = 26 · 37 · 54 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1401,16348] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:186:1] |
Generators of the group modulo torsion |
j |
486085219225/93918528 |
j-invariant |
L |
7.1626493185287 |
L(r)(E,1)/r! |
Ω |
1.0556076920468 |
Real period |
R |
0.1615555386808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650bk1 |
Quadratic twists by: 5 |