Atkin-Lehner |
2- 3- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23484c |
Isogeny class |
Conductor |
23484 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
71904 |
Modular degree for the optimal curve |
Δ |
-246811608140544 = -1 · 28 · 314 · 19 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 5 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13379,469823] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1854:1] |
Generators of the group modulo torsion |
j |
1034480352567296/964107844299 |
j-invariant |
L |
6.0665690399498 |
L(r)(E,1)/r! |
Ω |
0.36325856922882 |
Real period |
R |
0.19881447023459 |
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 |
93936g1 70452f1 |
Quadratic twists by: -4 -3 |