Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480p |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
685388828880 = 24 · 312 · 5 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27111,-1708704] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:21:1] [193:459:1] |
Generators of the group modulo torsion |
j |
137738820446132224/42836801805 |
j-invariant |
L |
7.6452405741748 |
L(r)(E,1)/r! |
Ω |
0.37206596209159 |
Real period |
R |
6.8493594802349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960l1 118440bi1 |
Quadratic twists by: -4 -3 |