Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944bd |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
74896294592 = 26 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13148,575770] |
[a1,a2,a3,a4,a6] |
j |
97336000/29 |
j-invariant |
L |
2.1324940846463 |
L(r)(E,1)/r! |
Ω |
1.0662470427752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944bb1 45472t2 90944ba1 |
Quadratic twists by: -4 8 -7 |