Atkin-Lehner |
2+ 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88102f |
Isogeny class |
Conductor |
88102 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
17434118717036 = 22 · 78 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 0 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-119536,-15955932] |
[a1,a2,a3,a4,a6] |
Generators |
[2022:88512:1] |
Generators of the group modulo torsion |
j |
1605599802471673/148187564 |
j-invariant |
L |
9.7635254113599 |
L(r)(E,1)/r! |
Ω |
0.25675966888871 |
Real period |
R |
3.1688275713841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586d1 |
Quadratic twists by: -7 |