Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200i |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-2340041011200 = -1 · 212 · 312 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8253,-295083] |
[a1,a2,a3,a4,a6] |
j |
-607172247040/22851963 |
j-invariant |
L |
0.99957192395828 |
L(r)(E,1)/r! |
Ω |
0.24989297640164 |
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 |
103200ck1 103200ct1 |
Quadratic twists by: -4 5 |