Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752g |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-54274030516992 = -1 · 28 · 3 · 114 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 11- 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2743,349197] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:338:1] |
Generators of the group modulo torsion |
j |
608740352/14480427 |
j-invariant |
L |
4.8754462596647 |
L(r)(E,1)/r! |
Ω |
0.47200469186262 |
Real period |
R |
0.43038469247216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75504w1 113256bw1 37752q1 |
Quadratic twists by: -4 -3 -11 |