Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98192h |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-40208381696811008 = -1 · 213 · 172 · 198 |
Discriminant |
Eigenvalues |
2- -1 -2 2 1 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153184,25063040] |
[a1,a2,a3,a4,a6] |
Generators |
[602:12274:1] [98:3314:1] |
Generators of the group modulo torsion |
j |
-5714497/578 |
j-invariant |
L |
9.1804574641818 |
L(r)(E,1)/r! |
Ω |
0.35400025689135 |
Real period |
R |
2.1611230701398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12274j1 98192m1 |
Quadratic twists by: -4 -19 |