Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736by |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
376902844416 = 216 · 36 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94764,-11228240] |
[a1,a2,a3,a4,a6] |
Generators |
[10190:1028160:1] |
Generators of the group modulo torsion |
j |
1969910093092/7889 |
j-invariant |
L |
8.3553541500174 |
L(r)(E,1)/r! |
Ω |
0.27210643534982 |
Real period |
R |
5.1176997065399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736em1 11592e1 10304p1 |
Quadratic twists by: -4 8 -3 |