Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290bm |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1.4203401620401E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1221498,-773916244] |
[a1,a2,a3,a4,a6] |
Generators |
[13390:339361:8] |
Generators of the group modulo torsion |
j |
-726572699/512000 |
j-invariant |
L |
3.7509904076506 |
L(r)(E,1)/r! |
Ω |
0.06963842429646 |
Real period |
R |
4.488650298115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1210a1 59290dz1 |
Quadratic twists by: -7 -11 |