Atkin-Lehner |
2+ 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680v |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
563409089337600 = 28 · 312 · 52 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179860,29277500] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:7326:1] |
Generators of the group modulo torsion |
j |
2513563890164159056/2200816755225 |
j-invariant |
L |
8.3438566470694 |
L(r)(E,1)/r! |
Ω |
0.51465032944375 |
Real period |
R |
1.3510559410977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029812 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48840r2 |
Quadratic twists by: -4 |