Atkin-Lehner |
2+ 3+ 13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
91494b |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-196311722256 = -1 · 24 · 33 · 133 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 -6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1209,13581] |
[a1,a2,a3,a4,a6] |
Generators |
[30:261:1] |
Generators of the group modulo torsion |
j |
7234970668821/7270804528 |
j-invariant |
L |
1.9664685066382 |
L(r)(E,1)/r! |
Ω |
0.66297272193864 |
Real period |
R |
0.74153447148081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937063 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91494s2 |
Quadratic twists by: -3 |