Atkin-Lehner |
2+ 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94962k |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1132927807536 = -1 · 24 · 36 · 72 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 3 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-599,-51771] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-967:1] |
Generators of the group modulo torsion |
j |
-486340537417/23120975664 |
j-invariant |
L |
3.2390151586963 |
L(r)(E,1)/r! |
Ω |
0.38075768613174 |
Real period |
R |
1.0633453000299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999713149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94962l1 |
Quadratic twists by: -7 |