Atkin-Lehner |
2- 3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578bi |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3268445290992 = 24 · 310 · 7 · 192 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4190,58749] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:339:1] |
Generators of the group modulo torsion |
j |
11156836713625/4483464048 |
j-invariant |
L |
10.407929934603 |
L(r)(E,1)/r! |
Ω |
0.72233923879612 |
Real period |
R |
0.90054033606673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526d2 |
Quadratic twists by: -3 |