Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bw |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
276813860978688 = 214 · 3 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23272,1115248] |
[a1,a2,a3,a4,a6] |
Generators |
[26:726:1] |
Generators of the group modulo torsion |
j |
192100033/38148 |
j-invariant |
L |
5.238572719376 |
L(r)(E,1)/r! |
Ω |
0.52101626674764 |
Real period |
R |
1.2568160186807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342j1 8976v1 |
Quadratic twists by: -4 -11 |