Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52983b |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1848548494901367 = -1 · 37 · 72 · 297 |
Discriminant |
Eigenvalues |
1 3- 0 7- 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3942,-2069793] |
[a1,a2,a3,a4,a6] |
Generators |
[22158:1154547:8] |
Generators of the group modulo torsion |
j |
-15625/4263 |
j-invariant |
L |
6.309573617615 |
L(r)(E,1)/r! |
Ω |
0.20979715443951 |
Real period |
R |
3.7593298360798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17661g1 1827c1 |
Quadratic twists by: -3 29 |