Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450i |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
176716434375000 = 23 · 39 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -1 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22992,1185416] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1618:1] |
Generators of the group modulo torsion |
j |
174828915/22984 |
j-invariant |
L |
5.2411929336277 |
L(r)(E,1)/r! |
Ω |
0.54956162051689 |
Real period |
R |
2.3842608105303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450cg1 99450by1 |
Quadratic twists by: -3 5 |