Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
92120j |
Isogeny class |
Conductor |
92120 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1385472 |
Modular degree for the optimal curve |
Δ |
-3386820587500000000 = -1 · 28 · 511 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,360575,30031875] |
[a1,a2,a3,a4,a6] |
Generators |
[275:-12250:1] |
Generators of the group modulo torsion |
j |
172139738479616/112451171875 |
j-invariant |
L |
4.8532214245568 |
L(r)(E,1)/r! |
Ω |
0.15691161855847 |
Real period |
R |
0.35147329448231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13160b1 |
Quadratic twists by: -7 |