Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808bb |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
331361868321792 = 210 · 36 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723387,236810630] |
[a1,a2,a3,a4,a6] |
Generators |
[494:106:1] |
Generators of the group modulo torsion |
j |
1389715708/11 |
j-invariant |
L |
4.0560527707476 |
L(r)(E,1)/r! |
Ω |
0.48602654518268 |
Real period |
R |
4.172665887232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616cr2 4312k2 38808ba2 |
Quadratic twists by: -4 -3 -7 |