Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008ba |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-6474459820032 = -1 · 212 · 32 · 433 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -3 5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1323,-120573] |
[a1,a2,a3,a4,a6] |
Generators |
[4068:30315:64] |
Generators of the group modulo torsion |
j |
62476255232/1580678667 |
j-invariant |
L |
10.473492227992 |
L(r)(E,1)/r! |
Ω |
0.36375048273724 |
Real period |
R |
2.3994222975235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6063a1 |
Quadratic twists by: -4 |