Atkin-Lehner |
2- 3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706t |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-2779112275968 = -1 · 228 · 3 · 7 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -3 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9855,380901] |
[a1,a2,a3,a4,a6] |
Generators |
[123:962:1] |
Generators of the group modulo torsion |
j |
-105851338052407921/2779112275968 |
j-invariant |
L |
3.5974142582309 |
L(r)(E,1)/r! |
Ω |
0.80459772386668 |
Real period |
R |
0.15968113858646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62118l1 |
Quadratic twists by: -3 |