Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600bk |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
114750000000000 = 210 · 33 · 512 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24075,-1342250] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:300:1] [219:1972:1] |
Generators of the group modulo torsion |
j |
3572225388/265625 |
j-invariant |
L |
8.2242897438589 |
L(r)(E,1)/r! |
Ω |
0.38507368271309 |
Real period |
R |
5.3394260066751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200a2 30600e2 6120a2 |
Quadratic twists by: -4 -3 5 |