Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240r |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
271816249600 = 28 · 52 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6223,-187278] |
[a1,a2,a3,a4,a6] |
j |
884901456/9025 |
j-invariant |
L |
2.1514293412105 |
L(r)(E,1)/r! |
Ω |
0.53785733530362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74480b2 760e2 |
Quadratic twists by: -4 -7 |