Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bi |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
200938881024000000 = 224 · 32 · 56 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3992297216,97093099438080] |
[a1,a2,a3,a4,a6] |
Generators |
[179226274:17250:4913] |
Generators of the group modulo torsion |
j |
1718036403880129446396978632449/49057344000000 |
j-invariant |
L |
4.7658758867037 |
L(r)(E,1)/r! |
Ω |
0.1151539391665 |
Real period |
R |
3.4489165265781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bc3 115920dy3 |
Quadratic twists by: -4 -3 |