Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200r |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
-1343236800000000 = -1 · 212 · 3 · 58 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 0 5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25667,-785963] |
[a1,a2,a3,a4,a6] |
j |
1168724480/839523 |
j-invariant |
L |
1.0841008790942 |
L(r)(E,1)/r! |
Ω |
0.27102521928167 |
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 |
55200cz1 110400fa1 55200cn1 |
Quadratic twists by: -4 8 5 |