Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398bi |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
5439588 = 22 · 3 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53,93] |
[a1,a2,a3,a4,a6] |
j |
16484028625/5439588 |
j-invariant |
L |
4.4466650589223 |
L(r)(E,1)/r! |
Ω |
2.2233325294611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184bl1 40194y1 93786bs1 |
Quadratic twists by: -4 -3 -7 |