Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024bu |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-47178024542208 = -1 · 213 · 33 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7432,-222480] |
[a1,a2,a3,a4,a6] |
Generators |
[61906:202714:2197] |
Generators of the group modulo torsion |
j |
1922375/1998 |
j-invariant |
L |
6.2375399717066 |
L(r)(E,1)/r! |
Ω |
0.34543977736077 |
Real period |
R |
9.0284043389693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878m1 87024eb1 |
Quadratic twists by: -4 -7 |