Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736m |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
4722754866192 = 24 · 34 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42148,3342979] |
[a1,a2,a3,a4,a6] |
Generators |
[890:1089:8] |
Generators of the group modulo torsion |
j |
2414368000/1377 |
j-invariant |
L |
4.6170263154019 |
L(r)(E,1)/r! |
Ω |
0.76242325956319 |
Real period |
R |
1.0092876550118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49368bg1 98736c1 |
Quadratic twists by: -4 -11 |