Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400v |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
184832000 = 212 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,-377] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] [-3:8:1] |
Generators of the group modulo torsion |
j |
778688/361 |
j-invariant |
L |
5.3740434819591 |
L(r)(E,1)/r! |
Ω |
1.4185075046448 |
Real period |
R |
1.8942597992476 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400x2 15200i1 30400u2 |
Quadratic twists by: -4 8 5 |