Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650d |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
114996615300000000 = 28 · 38 · 58 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2293000,1335400000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1145:50185:1] |
Generators of the group modulo torsion |
j |
85332829471914084481/7359783379200 |
j-invariant |
L |
2.4455252014322 |
L(r)(E,1)/r! |
Ω |
0.31761499633809 |
Real period |
R |
1.9249132032034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330bd1 |
Quadratic twists by: 5 |