Atkin-Lehner |
2+ 3- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970ba |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2196480 |
Modular degree for the optimal curve |
Δ |
7892142037401600000 = 222 · 312 · 55 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-497979,-4978715] |
[a1,a2,a3,a4,a6] |
j |
18733967420284360369/10825983590400000 |
j-invariant |
L |
1.9644665064702 |
L(r)(E,1)/r! |
Ω |
0.19644667465126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33990t1 |
Quadratic twists by: -3 |