Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950t |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-734977800 = -1 · 23 · 36 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -1 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-522,-4644] |
[a1,a2,a3,a4,a6] |
j |
-864043465/40328 |
j-invariant |
L |
0.99600414968542 |
L(r)(E,1)/r! |
Ω |
0.49800207484285 |
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 |
3550n1 31950cr1 |
Quadratic twists by: -3 5 |