Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bo |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-4567449600000000 = -1 · 220 · 33 · 58 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49616,5370816] |
[a1,a2,a3,a4,a6] |
Generators |
[29720:329728:125] |
Generators of the group modulo torsion |
j |
-3297902135604049/1115100000000 |
j-invariant |
L |
5.0066643399179 |
L(r)(E,1)/r! |
Ω |
0.41056197174726 |
Real period |
R |
6.0973308325302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390s1 |
Quadratic twists by: -4 |