Atkin-Lehner |
2+ 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390v |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1241853132260160 = -1 · 26 · 321 · 5 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5769,1705293] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:711:1] |
Generators of the group modulo torsion |
j |
-29129977246609/1703502239040 |
j-invariant |
L |
5.2185497004134 |
L(r)(E,1)/r! |
Ω |
0.40118243333564 |
Real period |
R |
3.2519804375675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11130bb1 |
Quadratic twists by: -3 |