Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382t |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17350490513664 = 28 · 32 · 76 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66127,6536450] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:3620:1] |
Generators of the group modulo torsion |
j |
271808161065433/147476736 |
j-invariant |
L |
5.5015934105354 |
L(r)(E,1)/r! |
Ω |
0.68359972512746 |
Real period |
R |
2.0119937187162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999681 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1518f2 |
Quadratic twists by: -7 |