Atkin-Lehner |
2+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342c |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-11731017088 = -1 · 27 · 76 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -3 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,481,3149] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:27:1] |
Generators of the group modulo torsion |
j |
104487111/99712 |
j-invariant |
L |
2.1047780905614 |
L(r)(E,1)/r! |
Ω |
0.83451623405147 |
Real period |
R |
1.261076780962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1558b1 |
Quadratic twists by: -7 |