Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712k |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-47244177701517312 = -1 · 211 · 35 · 377 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 3 5 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-274256,56170932] |
[a1,a2,a3,a4,a6] |
j |
-434163602/8991 |
j-invariant |
L |
7.1632160433777 |
L(r)(E,1)/r! |
Ω |
0.35816080268866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32856j1 1776d1 |
Quadratic twists by: -4 37 |