Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878x |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-247016495494692 = -1 · 22 · 39 · 7 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7319,795475] |
[a1,a2,a3,a4,a6] |
Generators |
[-610:7915:8] |
Generators of the group modulo torsion |
j |
-2202581720331/12549738124 |
j-invariant |
L |
9.3616267060157 |
L(r)(E,1)/r! |
Ω |
0.47959036672705 |
Real period |
R |
4.8800118577777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31878a1 |
Quadratic twists by: -3 |