Atkin-Lehner |
3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175m |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-112295326171875 = -1 · 3 · 59 · 7 · 115 · 17 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 11- -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-231208,-42717057] |
[a1,a2,a3,a4,a6] |
Generators |
[51731484:2453702649:21952] |
Generators of the group modulo torsion |
j |
-699848639074304/57495207 |
j-invariant |
L |
10.068400885407 |
L(r)(E,1)/r! |
Ω |
0.10885955323385 |
Real period |
R |
9.248982354926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98175bu1 |
Quadratic twists by: 5 |