Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372x |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
179655659529707088 = 24 · 32 · 76 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143537,4764642] |
[a1,a2,a3,a4,a6] |
j |
16384/9 |
j-invariant |
L |
1.671327734069 |
L(r)(E,1)/r! |
Ω |
0.27855461698284 |
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 |
2028f1 99372y1 |
Quadratic twists by: -7 13 |