Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cu |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-1027585778012352 = -1 · 26 · 39 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13182,1428050] |
[a1,a2,a3,a4,a6] |
j |
6656/27 |
j-invariant |
L |
5.625027729535 |
L(r)(E,1)/r! |
Ω |
0.35156424016552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cv1 48672bz1 32448m1 97344cz1 |
Quadratic twists by: -4 8 -3 13 |