Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200bs |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1080000 |
Modular degree for the optimal curve |
Δ |
-4215200468750000 = -1 · 24 · 510 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55000,-5865625] |
[a1,a2,a3,a4,a6] |
Generators |
[232763452030249216177668991013829512090524098015:1315677097152683814394526041661367910924721418364:800882740869133108537488756749588547109473375] |
Generators of the group modulo torsion |
j |
-117758361600/26977283 |
j-invariant |
L |
11.549524299568 |
L(r)(E,1)/r! |
Ω |
0.15400130954872 |
Real period |
R |
74.99627330061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32300b1 129200di1 |
Quadratic twists by: -4 5 |