Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15300h |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
156060000000 = 28 · 33 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1575,14750] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:150:1] |
Generators of the group modulo torsion |
j |
4000752/1445 |
j-invariant |
L |
3.5390374083809 |
L(r)(E,1)/r! |
Ω |
0.93902041480283 |
Real period |
R |
0.31407174900843 |
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 |
61200dt2 15300d2 3060a2 |
Quadratic twists by: -4 -3 5 |