Atkin-Lehner |
2+ 3+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23478d |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-44116293451776 = -1 · 229 · 3 · 72 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 0 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7409,-406059] |
[a1,a2,a3,a4,a6] |
Generators |
[115:471:1] |
Generators of the group modulo torsion |
j |
-44987730264778393/44116293451776 |
j-invariant |
L |
2.0642265408973 |
L(r)(E,1)/r! |
Ω |
0.24744664288068 |
Real period |
R |
4.1710538418834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70434be1 |
Quadratic twists by: -3 |