Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024y |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-44210976768 = -1 · 211 · 35 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43528,3480980] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-36:1] |
Generators of the group modulo torsion |
j |
-1854888103250/8991 |
j-invariant |
L |
8.2311308428303 |
L(r)(E,1)/r! |
Ω |
1.0071147720469 |
Real period |
R |
0.40864909714272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43512a1 87024o1 |
Quadratic twists by: -4 -7 |