Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ee |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6480626645921218560 = -1 · 214 · 38 · 5 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,425304,59894640] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:2288:1] [404:17248:1] |
Generators of the group modulo torsion |
j |
17655210697319/13448344140 |
j-invariant |
L |
10.117141921596 |
L(r)(E,1)/r! |
Ω |
0.15219120240089 |
Real period |
R |
4.1547826720561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999924901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170t4 18480cz4 |
Quadratic twists by: -4 -7 |