Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472bc |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
272384 |
Modular degree for the optimal curve |
Δ |
-1826645728804288 = -1 · 26 · 79 · 294 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192194,-32560088] |
[a1,a2,a3,a4,a6] |
Generators |
[1151771012:21036121016:1685159] |
Generators of the group modulo torsion |
j |
-304006671424/707281 |
j-invariant |
L |
3.6601396460875 |
L(r)(E,1)/r! |
Ω |
0.113991870328 |
Real period |
R |
16.054388947012 |
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 |
45472l1 90944cb1 45472bb1 |
Quadratic twists by: -4 8 -7 |