Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bp |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-61113693634560 = -1 · 226 · 32 · 5 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51976,-4559120] |
[a1,a2,a3,a4,a6] |
Generators |
[274:1302:1] |
Generators of the group modulo torsion |
j |
-3791234790830089/14920335360 |
j-invariant |
L |
6.5722817049592 |
L(r)(E,1)/r! |
Ω |
0.15805777146217 |
Real period |
R |
3.4651263048463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390i1 |
Quadratic twists by: -4 |