Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152c |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
21142937088 = 29 · 33 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183472,-30187352] |
[a1,a2,a3,a4,a6] |
j |
11339065490696/351 |
j-invariant |
L |
0.92271355307198 |
L(r)(E,1)/r! |
Ω |
0.23067838883582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152bt4 122304eh4 1248e3 |
Quadratic twists by: -4 8 -7 |