Atkin-Lehner |
2- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320t |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7317775936000000 = 212 · 56 · 174 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7128667,7325892426] |
[a1,a2,a3,a4,a6] |
Generators |
[317:71400:1] |
Generators of the group modulo torsion |
j |
9781123632539052158001/1786566390625 |
j-invariant |
L |
6.9129834480941 |
L(r)(E,1)/r! |
Ω |
0.32973841643368 |
Real period |
R |
1.7470877680471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3145c2 |
Quadratic twists by: -4 |