Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736w |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-19753095760183296 = -1 · 233 · 33 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 6 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72684,-10129744] |
[a1,a2,a3,a4,a6] |
Generators |
[325:759:1] |
Generators of the group modulo torsion |
j |
-5999796014211/2790817792 |
j-invariant |
L |
6.0723189251019 |
L(r)(E,1)/r! |
Ω |
0.14220306681628 |
Real period |
R |
3.558478658153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736cy1 2898m1 92736p2 |
Quadratic twists by: -4 8 -3 |