Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24600s |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
134500500000000 = 28 · 38 · 59 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30708,-2004912] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:252:1] |
Generators of the group modulo torsion |
j |
6405048848/269001 |
j-invariant |
L |
6.5253951620391 |
L(r)(E,1)/r! |
Ω |
0.36158481610343 |
Real period |
R |
2.2558314368532 |
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 |
49200k2 73800cs2 24600z2 |
Quadratic twists by: -4 -3 5 |