Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610ba |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
847694030400 = 26 · 36 · 52 · 7 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136148,19369847] |
[a1,a2,a3,a4,a6] |
Generators |
[1214:11219:8] |
Generators of the group modulo torsion |
j |
382848536477869561/1162817600 |
j-invariant |
L |
8.3637247098617 |
L(r)(E,1)/r! |
Ω |
0.77579283458892 |
Real period |
R |
5.3904369420307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
3290e3 |
Quadratic twists by: -3 |