Atkin-Lehner |
2+ 3- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850bl |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-460370742187500000 = -1 · 25 · 32 · 513 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3895001,2958613148] |
[a1,a2,a3,a4,a6] |
j |
-418240655301726115201/29463727500000 |
j-invariant |
L |
3.3800650316866 |
L(r)(E,1)/r! |
Ω |
0.28167218382239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370r1 |
Quadratic twists by: 5 |