Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960bw |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
3156480 |
Modular degree for the optimal curve |
Δ |
-276245707500000000 = -1 · 28 · 33 · 510 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3080065,2079724163] |
[a1,a2,a3,a4,a6] |
Generators |
[-829:63750:1] |
Generators of the group modulo torsion |
j |
-257612808846922138624/22022138671875 |
j-invariant |
L |
9.3397615320379 |
L(r)(E,1)/r! |
Ω |
0.29518755028587 |
Real period |
R |
0.065916860457119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99960a1 |
Quadratic twists by: -7 |