Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bx |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-12904051781250 = -1 · 2 · 313 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3933,-145409] |
[a1,a2,a3,a4,a6] |
Generators |
[4294:97897:8] |
Generators of the group modulo torsion |
j |
590589719/1132866 |
j-invariant |
L |
4.9204374170073 |
L(r)(E,1)/r! |
Ω |
0.37076440632732 |
Real period |
R |
6.635530944635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850cd1 4662k1 |
Quadratic twists by: -3 5 |