Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024cf |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-389388629016576 = -1 · 215 · 311 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 1 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1192,-949136] |
[a1,a2,a3,a4,a6] |
Generators |
[714:19018:1] |
Generators of the group modulo torsion |
j |
-934029817/1940113944 |
j-invariant |
L |
4.0218970721725 |
L(r)(E,1)/r! |
Ω |
0.24187582889497 |
Real period |
R |
4.1569853130821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878o1 87024cz1 |
Quadratic twists by: -4 -7 |