Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
31600s |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
798848000000 = 213 · 56 · 792 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3608,-70288] |
[a1,a2,a3,a4,a6] |
Generators |
[20382:140075:216] |
Generators of the group modulo torsion |
j |
81182737/12482 |
j-invariant |
L |
8.492964294363 |
L(r)(E,1)/r! |
Ω |
0.62235553025251 |
Real period |
R |
6.8232416050977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3950d2 126400ch2 1264i2 |
Quadratic twists by: -4 8 5 |