Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600bz |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14612834160000000 = 210 · 37 · 57 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93675,-9378250] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:1100:1] |
Generators of the group modulo torsion |
j |
7793764996/1252815 |
j-invariant |
L |
6.3326280577 |
L(r)(E,1)/r! |
Ω |
0.27585986229571 |
Real period |
R |
2.8694950422471 |
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 |
61200bc3 10200e4 6120l3 |
Quadratic twists by: -4 -3 5 |