Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920bs |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-13137396480 = -1 · 28 · 37 · 5 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,4916] |
[a1,a2,a3,a4,a6] |
Generators |
[25:171:1] |
Generators of the group modulo torsion |
j |
24974336/70395 |
j-invariant |
L |
8.2514889036706 |
L(r)(E,1)/r! |
Ω |
0.88536265900265 |
Real period |
R |
1.1649871410379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29640c1 |
Quadratic twists by: -3 |