Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bp |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1404480 |
Modular degree for the optimal curve |
Δ |
-263204684875075680 = -1 · 25 · 37 · 5 · 1110 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,72900,-23461635] |
[a1,a2,a3,a4,a6] |
j |
1651882199/10147680 |
j-invariant |
L |
0.77590548031541 |
L(r)(E,1)/r! |
Ω |
0.15518104515836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270q1 |
Quadratic twists by: -11 |