Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120k |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-10407600 = -1 · 24 · 32 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,162] |
[a1,a2,a3,a4,a6] |
Generators |
[14:50:1] |
Generators of the group modulo torsion |
j |
-24918016/650475 |
j-invariant |
L |
7.7762491035317 |
L(r)(E,1)/r! |
Ω |
1.9126033549441 |
Real period |
R |
2.0328964423553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560o1 |
Quadratic twists by: -4 |