Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120m |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
45522842400000 = 28 · 39 · 55 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 -7 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16345,-730475] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:175:1] |
Generators of the group modulo torsion |
j |
1886535976938496/177823603125 |
j-invariant |
L |
6.5529467688144 |
L(r)(E,1)/r! |
Ω |
0.42478440851682 |
Real period |
R |
1.5426523700116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49560p1 |
Quadratic twists by: -4 |