Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350q |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
92783901897843750 = 2 · 36 · 56 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3701226,-2741000402] |
[a1,a2,a3,a4,a6] |
Generators |
[-1108:666:1] |
Generators of the group modulo torsion |
j |
358872624127382648977/5938169721462 |
j-invariant |
L |
5.077658282096 |
L(r)(E,1)/r! |
Ω |
0.10884628198735 |
Real period |
R |
1.9437420481843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050df6 1254g5 |
Quadratic twists by: -3 5 |