Atkin-Lehner |
2- 3- 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970ca |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-2.1462122732559E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ 3 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17991362,-29369067839] |
[a1,a2,a3,a4,a6] |
j |
-883462840184880403984089/29440497575526400 |
j-invariant |
L |
4.8381196253476 |
L(r)(E,1)/r! |
Ω |
0.036652422327313 |
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 |
11330b1 |
Quadratic twists by: -3 |