Atkin-Lehner |
3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bc |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-271242675 = -1 · 37 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11+ -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,2151] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:31:1] [-1:49:1] |
Generators of the group modulo torsion |
j |
-163840000/14883 |
j-invariant |
L |
8.7667228203278 |
L(r)(E,1)/r! |
Ω |
1.701987234577 |
Real period |
R |
0.64385932538582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825u1 101475bw1 |
Quadratic twists by: -3 5 |