Atkin-Lehner |
2+ 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878a |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-338842929348 = -1 · 22 · 33 · 7 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-813,-29191] |
[a1,a2,a3,a4,a6] |
Generators |
[73:508:1] [44:115:1] |
Generators of the group modulo torsion |
j |
-2202581720331/12549738124 |
j-invariant |
L |
5.6662272731229 |
L(r)(E,1)/r! |
Ω |
0.40093396364905 |
Real period |
R |
0.50473463987081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31878x1 |
Quadratic twists by: -3 |