Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110940h |
Isogeny class |
Conductor |
110940 |
Conductor |
∏ cp |
297 |
Product of Tamagawa factors cp |
deg |
931392 |
Modular degree for the optimal curve |
Δ |
19380170903904000 = 28 · 311 · 53 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67180,-260572] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:1290:1] [-184:2430:1] |
Generators of the group modulo torsion |
j |
38312137936/22143375 |
j-invariant |
L |
13.608424550703 |
L(r)(E,1)/r! |
Ω |
0.32423387651831 |
Real period |
R |
0.14131654522802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110940c1 |
Quadratic twists by: -43 |