Atkin-Lehner |
5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30685g |
Isogeny class |
Conductor |
30685 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-100909739285546875 = -1 · 58 · 172 · 197 |
Discriminant |
Eigenvalues |
1 2 5- -4 -4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43327,-15690876] |
[a1,a2,a3,a4,a6] |
Generators |
[588:12456:1] |
Generators of the group modulo torsion |
j |
-191202526081/2144921875 |
j-invariant |
L |
8.2916176735887 |
L(r)(E,1)/r! |
Ω |
0.14304205267655 |
Real period |
R |
3.6228933722806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1615a2 |
Quadratic twists by: -19 |