Atkin-Lehner |
5- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20615f |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1786567330975 = -1 · 52 · 72 · 196 · 31 |
Discriminant |
Eigenvalues |
-1 2 5- 7+ -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11400,-477640] |
[a1,a2,a3,a4,a6] |
Generators |
[372372:28215757:64] |
Generators of the group modulo torsion |
j |
-163847812333161601/1786567330975 |
j-invariant |
L |
4.4669471090669 |
L(r)(E,1)/r! |
Ω |
0.23086652211715 |
Real period |
R |
9.6743067554857 |
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 |
103075i1 |
Quadratic twists by: 5 |