Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3640h |
Isogeny class |
Conductor |
3640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
2038400000 = 210 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13523,605278] |
[a1,a2,a3,a4,a6] |
Generators |
[66:16:1] |
Generators of the group modulo torsion |
j |
267080942160036/1990625 |
j-invariant |
L |
3.2011747437078 |
L(r)(E,1)/r! |
Ω |
1.3186585530408 |
Real period |
R |
2.4275994239191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7280e1 29120l1 32760s1 18200e1 |
Quadratic twists by: -4 8 -3 5 |