Atkin-Lehner |
2+ 3- 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
92430p |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
8175059543008800 = 25 · 313 · 52 · 13 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81765,-7857419] |
[a1,a2,a3,a4,a6] |
Generators |
[1343:-48664:1] [-1106:7663:8] |
Generators of the group modulo torsion |
j |
82928057910319441/11214073447200 |
j-invariant |
L |
7.5106837516413 |
L(r)(E,1)/r! |
Ω |
0.28485818422449 |
Real period |
R |
1.0985998424934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30810be1 |
Quadratic twists by: -3 |