Atkin-Lehner |
2- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
36050r |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-90125000 = -1 · 23 · 56 · 7 · 103 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -4 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45,-453] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] |
Generators of the group modulo torsion |
j |
658503/5768 |
j-invariant |
L |
3.467161566449 |
L(r)(E,1)/r! |
Ω |
0.94491496695754 |
Real period |
R |
0.61154736805121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1442c1 |
Quadratic twists by: 5 |