Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200ca |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
334848 |
Modular degree for the optimal curve |
Δ |
-99935866880000 = -1 · 215 · 54 · 474 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 -5 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2900,477200] |
[a1,a2,a3,a4,a6] |
Generators |
[-1248:13348:27] |
Generators of the group modulo torsion |
j |
131700600/4879681 |
j-invariant |
L |
12.43792811952 |
L(r)(E,1)/r! |
Ω |
0.4522504100289 |
Real period |
R |
3.4377879608492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bp1 37600g1 75200o1 |
Quadratic twists by: -4 8 5 |