Atkin-Lehner |
2+ 3- 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318h |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-21803087167488 = -1 · 218 · 34 · 11 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30202,-2035156] |
[a1,a2,a3,a4,a6] |
j |
-3046562912606184217/21803087167488 |
j-invariant |
L |
1.4479937825901 |
L(r)(E,1)/r! |
Ω |
0.18099922282376 |
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 |
63954be1 |
Quadratic twists by: -3 |