Atkin-Lehner |
2- 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850bt |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-1017747070312500000 = -1 · 25 · 33 · 515 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68772188,219487954781] |
[a1,a2,a3,a4,a6] |
j |
-2302195558228013816407801/65135812500000 |
j-invariant |
L |
4.0531768546141 |
L(r)(E,1)/r! |
Ω |
0.20265884276385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570m1 |
Quadratic twists by: 5 |