Atkin-Lehner |
17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23273d |
Isogeny class |
Conductor |
23273 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
37558942800777253 = 172 · 379 |
Discriminant |
Eigenvalues |
-2 3 2 1 -3 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-288859,59023408] |
[a1,a2,a3,a4,a6] |
Generators |
[-6882:290899:27] |
Generators of the group modulo torsion |
j |
1038893617152/14638717 |
j-invariant |
L |
5.4167255672194 |
L(r)(E,1)/r! |
Ω |
0.36606672509211 |
Real period |
R |
3.699274746876 |
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 |
629b1 |
Quadratic twists by: 37 |