Atkin-Lehner |
2- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60352k |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-458237768024195072 = -1 · 222 · 23 · 416 |
Discriminant |
Eigenvalues |
2- 0 2 -2 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33716,-32481648] |
[a1,a2,a3,a4,a6] |
Generators |
[15753408:-293132780:35937] |
Generators of the group modulo torsion |
j |
16169326314903/1748038360688 |
j-invariant |
L |
6.6205717178199 |
L(r)(E,1)/r! |
Ω |
0.14051988059745 |
Real period |
R |
7.8524733649418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352h2 15088c2 |
Quadratic twists by: -4 8 |