Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450du |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-81713679255000 = -1 · 23 · 39 · 54 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5620,-404953] |
[a1,a2,a3,a4,a6] |
Generators |
[375:7183:1] |
Generators of the group modulo torsion |
j |
43092089975/179344152 |
j-invariant |
L |
11.848306789108 |
L(r)(E,1)/r! |
Ω |
0.30798487008212 |
Real period |
R |
3.2058681940622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150bc1 99450z1 |
Quadratic twists by: -3 5 |