Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312be |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-8.4479071266962E+22 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- 5 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4792396,-14555399824] |
[a1,a2,a3,a4,a6] |
Generators |
[588489822852306792275827802053680403710:2600140104492330389579193125335200956416:190328743771170637147413515116260489] |
Generators of the group modulo torsion |
j |
-164384733177/1140850688 |
j-invariant |
L |
10.157512628329 |
L(r)(E,1)/r! |
Ω |
0.045294183978618 |
Real period |
R |
56.064110974623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312cn1 1666h1 53312i1 |
Quadratic twists by: -4 8 -7 |