Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52983d |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2552757445339983 = -1 · 36 · 7 · 298 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72063,-7814664] |
[a1,a2,a3,a4,a6] |
Generators |
[1229743480520:106495215708136:161878625] |
Generators of the group modulo torsion |
j |
-95443993/5887 |
j-invariant |
L |
4.7926595517718 |
L(r)(E,1)/r! |
Ω |
0.14517547601379 |
Real period |
R |
16.506436497833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5887b1 1827d1 |
Quadratic twists by: -3 29 |