Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878h |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-41313888 = -1 · 25 · 36 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-483,-3979] |
[a1,a2,a3,a4,a6] |
Generators |
[705:362:27] |
Generators of the group modulo torsion |
j |
-17113674033/56672 |
j-invariant |
L |
2.9776192757919 |
L(r)(E,1)/r! |
Ω |
0.50904306667658 |
Real period |
R |
5.8494447144366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542l1 |
Quadratic twists by: -3 |