Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690s |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-153272250 = -1 · 2 · 36 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 5 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114,-730] |
[a1,a2,a3,a4,a6] |
Generators |
[31:142:1] |
Generators of the group modulo torsion |
j |
-268569/250 |
j-invariant |
L |
6.1409246706032 |
L(r)(E,1)/r! |
Ω |
0.70330189365256 |
Real period |
R |
1.4552604708537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410i1 75690bu1 |
Quadratic twists by: -3 29 |