Atkin-Lehner |
2- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298q |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-140946709582336 = -1 · 29 · 78 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 2 1 7+ 0 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-72080,-7500431] |
[a1,a2,a3,a4,a6] |
j |
-7184294099521/24449536 |
j-invariant |
L |
10.487206934011 |
L(r)(E,1)/r! |
Ω |
0.14565565290765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298t1 |
Quadratic twists by: -7 |