Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300b |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2913084000000 = 28 · 39 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132975,18663750] |
[a1,a2,a3,a4,a6] |
j |
3302801136/37 |
j-invariant |
L |
1.4568917288243 |
L(r)(E,1)/r! |
Ω |
0.72844586441359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33300a2 1332a2 |
Quadratic twists by: -3 5 |