Atkin-Lehner |
2- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61642r |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-5399657725952 = -1 · 214 · 72 · 173 · 372 |
Discriminant |
Eigenvalues |
2- -1 0 7- 5 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,482,-111525] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-1241:1] |
Generators of the group modulo torsion |
j |
252704183375/110197096448 |
j-invariant |
L |
8.0276663842875 |
L(r)(E,1)/r! |
Ω |
0.35736657395432 |
Real period |
R |
0.80226409454181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61642p1 |
Quadratic twists by: -7 |