Atkin-Lehner |
2+ 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464s |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-1014938688913968 = -1 · 24 · 3 · 72 · 138 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16401,1307712] |
[a1,a2,a3,a4,a6] |
j |
30492163182184448/63433668057123 |
j-invariant |
L |
2.7314205298368 |
L(r)(E,1)/r! |
Ω |
0.34142758210562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50232r1 |
Quadratic twists by: -4 |