Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104040u |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
77935115520 = 28 · 36 · 5 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 5 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,-77452] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:34:1] |
Generators of the group modulo torsion |
j |
295936/5 |
j-invariant |
L |
7.6298443884007 |
L(r)(E,1)/r! |
Ω |
0.62276590321411 |
Real period |
R |
0.51048103360755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11560m1 104040bd1 |
Quadratic twists by: -3 17 |