Atkin-Lehner |
2- 3- 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578bf |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
7.3103989661093E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26339324,-31851131457] |
[a1,a2,a3,a4,a6] |
Generators |
[6809:319785:1] |
Generators of the group modulo torsion |
j |
2772107335639518297870457/1002798212086322233344 |
j-invariant |
L |
13.144250717775 |
L(r)(E,1)/r! |
Ω |
0.06865120841504 |
Real period |
R |
2.9916285834786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003918 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29526b2 |
Quadratic twists by: -3 |