Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800p |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21934080 |
Modular degree for the optimal curve |
Δ |
-1.5392767585725E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 -3 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17768925,52268442750] |
[a1,a2,a3,a4,a6] |
j |
26596817194679118/65984086015625 |
j-invariant |
L |
4.2603166095824 |
L(r)(E,1)/r! |
Ω |
0.05917105306505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12200i1 21960t1 |
Quadratic twists by: -3 5 |