Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610s |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
288630943617945600 = 212 · 312 · 52 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-254903,42319631] |
[a1,a2,a3,a4,a6] |
Generators |
[555:-8738:1] |
Generators of the group modulo torsion |
j |
2512577271653081641/395927220326400 |
j-invariant |
L |
7.3164607948054 |
L(r)(E,1)/r! |
Ω |
0.29474550618536 |
Real period |
R |
1.034290690509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870i2 |
Quadratic twists by: -3 |