Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970bq |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
-34909952000 = -1 · 211 · 53 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ -3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,230,-8793] |
[a1,a2,a3,a4,a6] |
Generators |
[57:411:1] |
Generators of the group modulo torsion |
j |
27453209231/712448000 |
j-invariant |
L |
8.5950548833027 |
L(r)(E,1)/r! |
Ω |
0.5618613515664 |
Real period |
R |
0.23177978523088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970r1 |
Quadratic twists by: -7 |