Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ee |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
92570934642278400 = 216 · 34 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123496,8087920] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:4950:1] [-92:4320:1] |
Generators of the group modulo torsion |
j |
432252699481/192099600 |
j-invariant |
L |
10.117141921596 |
L(r)(E,1)/r! |
Ω |
0.30438240480178 |
Real period |
R |
4.1547826720561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999924901 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170t2 18480cz2 |
Quadratic twists by: -4 -7 |