Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25300c |
Isogeny class |
Conductor |
25300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-68759667968750000 = -1 · 24 · 514 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108700,-18693375] |
[a1,a2,a3,a4,a6] |
Generators |
[661590:18299375:729] |
Generators of the group modulo torsion |
j |
-568162198831104/275038671875 |
j-invariant |
L |
5.9887590467198 |
L(r)(E,1)/r! |
Ω |
0.12849804254934 |
Real period |
R |
7.7676397864459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101200bl1 5060a1 |
Quadratic twists by: -4 5 |