Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bd |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-55536893755392 = -1 · 216 · 3 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9343,-84897] |
[a1,a2,a3,a4,a6] |
Generators |
[22905:349404:125] |
Generators of the group modulo torsion |
j |
11696828/7203 |
j-invariant |
L |
5.815885883097 |
L(r)(E,1)/r! |
Ω |
0.36322483642002 |
Real period |
R |
8.0059033688595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408ca4 1176c4 28224cd3 1344b4 |
Quadratic twists by: -4 8 -3 -7 |