Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300l |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34473600 |
Modular degree for the optimal curve |
Δ |
-1.0075697800203E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 6 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36809967,-126243241938] |
[a1,a2,a3,a4,a6] |
j |
1299125682176/2373046875 |
j-invariant |
L |
3.7182701962796 |
L(r)(E,1)/r! |
Ω |
0.037941532995146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660u1 108300cj1 |
Quadratic twists by: 5 -19 |