Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648o |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
375805761283040256 = 210 · 32 · 74 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-343792,-71877520] |
[a1,a2,a3,a4,a6] |
Generators |
[44279901273655305:2478795730680442348:13643352642375] |
Generators of the group modulo torsion |
j |
93280467172/7800849 |
j-invariant |
L |
8.7147167468281 |
L(r)(E,1)/r! |
Ω |
0.19821209835289 |
Real period |
R |
21.983311864958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998044 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121296r2 3192j2 |
Quadratic twists by: -4 -19 |