Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600eo |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-619904625120000 = -1 · 28 · 37 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11- 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28233,-2193237] |
[a1,a2,a3,a4,a6] |
Generators |
[513:10890:1] |
Generators of the group modulo torsion |
j |
-8780800/2187 |
j-invariant |
L |
10.480283089475 |
L(r)(E,1)/r! |
Ω |
0.18176988362304 |
Real period |
R |
0.68639134489876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600q1 600e1 |
Quadratic twists by: 5 -11 |