Atkin-Lehner |
2+ 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230g |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1634304 |
Modular degree for the optimal curve |
Δ |
9.0836350764319E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68926047,219747109509] |
[a1,a2,a3,a4,a6] |
j |
36213778215446211023083538041/90836350764318720000000 |
j-invariant |
L |
0.75279328673866 |
L(r)(E,1)/r! |
Ω |
0.10754189810552 |
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 |
81840dm1 30690bd1 51150cd1 112530bz1 |
Quadratic twists by: -4 -3 5 -11 |