Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900bn |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-108751500000000 = -1 · 28 · 32 · 59 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7667,-427537] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3750:1] |
Generators of the group modulo torsion |
j |
99672064/217503 |
j-invariant |
L |
6.5819658600594 |
L(r)(E,1)/r! |
Ω |
0.30852305795708 |
Real period |
R |
1.7778157607944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700bj1 42900s1 |
Quadratic twists by: -3 5 |