Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568f |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
7264899607023166032 = 24 · 314 · 377 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484626,6736849] |
[a1,a2,a3,a4,a6] |
j |
420616192/242757 |
j-invariant |
L |
1.6012385865798 |
L(r)(E,1)/r! |
Ω |
0.20015481353866 |
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 |
32856m1 2664g1 |
Quadratic twists by: -3 37 |