Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cp |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-654002159616 = -1 · 216 · 310 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 0 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1716,-27664] |
[a1,a2,a3,a4,a6] |
Generators |
[22:144:1] [38:304:1] |
Generators of the group modulo torsion |
j |
69212/81 |
j-invariant |
L |
9.8126391965083 |
L(r)(E,1)/r! |
Ω |
0.4891751060593 |
Real period |
R |
2.5074454613662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344fw1 12168g1 32448h1 97344ck1 |
Quadratic twists by: -4 8 -3 13 |