Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440p |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
5114819687250000 = 24 · 3 · 56 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43675,-694448] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:1625:1] |
Generators of the group modulo torsion |
j |
14270199808/7921875 |
j-invariant |
L |
6.3740719272499 |
L(r)(E,1)/r! |
Ω |
0.35400213854714 |
Real period |
R |
1.5004786771619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76440bd1 |
Quadratic twists by: -7 |