Atkin-Lehner |
2+ 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352a |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-714436210178555904 = -1 · 215 · 320 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,188063,-25916255] |
[a1,a2,a3,a4,a6] |
Generators |
[194221882332247400:-1476222779828281653:1480569513734375] |
Generators of the group modulo torsion |
j |
22448201244086584/21802862859453 |
j-invariant |
L |
7.4707451965829 |
L(r)(E,1)/r! |
Ω |
0.15572825982396 |
Real period |
R |
23.986478773624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352r3 46176p2 |
Quadratic twists by: -4 8 |