Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650k |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-192401325000000 = -1 · 26 · 39 · 58 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -3 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93525,10990125] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-285:1] |
Generators of the group modulo torsion |
j |
-5790207030877009/12313684800 |
j-invariant |
L |
4.0834188372734 |
L(r)(E,1)/r! |
Ω |
0.56749193381948 |
Real period |
R |
1.7988884923482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11730l1 |
Quadratic twists by: 5 |