Atkin-Lehner |
7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37583d |
Isogeny class |
Conductor |
37583 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-6298256743051 = -1 · 77 · 133 · 592 |
Discriminant |
Eigenvalues |
-2 2 1 7- -2 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4720,-172096] |
[a1,a2,a3,a4,a6] |
Generators |
[243:3601:1] |
Generators of the group modulo torsion |
j |
-98867482624/53534299 |
j-invariant |
L |
4.1649625633461 |
L(r)(E,1)/r! |
Ω |
0.28088736602755 |
Real period |
R |
3.7069685816129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369b1 |
Quadratic twists by: -7 |