Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600x |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-125023500000000 = -1 · 28 · 36 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-537500] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1750:1] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
4.5180090411422 |
L(r)(E,1)/r! |
Ω |
0.27556801953982 |
Real period |
R |
2.0494073698605 |
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 |
25200cf1 100800gf1 1400l1 12600cj1 |
Quadratic twists by: -4 8 -3 5 |