Atkin-Lehner |
2- 3+ 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76212a |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
70272 |
Modular degree for the optimal curve |
Δ |
-48669288048 = -1 · 24 · 39 · 29 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 -1 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-945,15417] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-73:1] [-3:135:1] |
Generators of the group modulo torsion |
j |
-296352000/154541 |
j-invariant |
L |
9.1485395070397 |
L(r)(E,1)/r! |
Ω |
1.0512351420935 |
Real period |
R |
0.72522146732635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76212c1 |
Quadratic twists by: -3 |