Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736p |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-1786798669824 = -1 · 223 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-714636,232528112] |
[a1,a2,a3,a4,a6] |
Generators |
[478:-384:1] [388:3696:1] |
Generators of the group modulo torsion |
j |
-5702623460245179/252448 |
j-invariant |
L |
12.947969993112 |
L(r)(E,1)/r! |
Ω |
0.62304330549295 |
Real period |
R |
0.86590891029388 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736df1 2898b1 92736w2 |
Quadratic twists by: -4 8 -3 |