Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bh |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-37867116375000000 = -1 · 26 · 32 · 59 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-264963,-53434719] |
[a1,a2,a3,a4,a6] |
Generators |
[691:9350:1] |
Generators of the group modulo torsion |
j |
-131661708271504489/2423495448000 |
j-invariant |
L |
6.6947634479299 |
L(r)(E,1)/r! |
Ω |
0.10509912296374 |
Real period |
R |
5.3082931451923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050bl3 6270g3 |
Quadratic twists by: -3 5 |