Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230q |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1145583747221760 = 28 · 38 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84420,-9278384] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:460:1] |
Generators of the group modulo torsion |
j |
51520374361/887040 |
j-invariant |
L |
3.9037233648114 |
L(r)(E,1)/r! |
Ω |
0.28037648681737 |
Real period |
R |
3.480787037471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410ca1 6930bb1 |
Quadratic twists by: -3 -11 |