Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818m |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-271979694 = -1 · 2 · 310 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 -5 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,-813] |
[a1,a2,a3,a4,a6] |
Generators |
[878:8791:8] |
Generators of the group modulo torsion |
j |
-105484561/5550606 |
j-invariant |
L |
5.1869898223989 |
L(r)(E,1)/r! |
Ω |
0.76376971013594 |
Real period |
R |
3.3956503862111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544dy1 41454w1 13818x1 |
Quadratic twists by: -4 -3 -7 |