Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bh |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
3005230286313216 = 28 · 33 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 1 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1476063,690243434] |
[a1,a2,a3,a4,a6] |
Generators |
[-10798:119613:8] |
Generators of the group modulo torsion |
j |
51455839111023712752/434784474293 |
j-invariant |
L |
6.8635543242464 |
L(r)(E,1)/r! |
Ω |
0.40523114699889 |
Real period |
R |
8.4686904960988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19188g1 76752z1 |
Quadratic twists by: -4 -3 |