Atkin-Lehner |
2- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40880u |
Isogeny class |
Conductor |
40880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-8204779520 = -1 · 216 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -2 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,317,3778] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:14:1] [33:224:1] |
Generators of the group modulo torsion |
j |
860085351/2003120 |
j-invariant |
L |
5.5750453289559 |
L(r)(E,1)/r! |
Ω |
0.91241577650115 |
Real period |
R |
0.50918355722417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110a1 |
Quadratic twists by: -4 |