Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450be |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-14657567932800 = -1 · 27 · 313 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15147,-737019] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1029:1] |
Generators of the group modulo torsion |
j |
-21088815109465/804256128 |
j-invariant |
L |
2.6484680117576 |
L(r)(E,1)/r! |
Ω |
0.2146920496193 |
Real period |
R |
3.0840313105656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150ce1 99450ds1 |
Quadratic twists by: -3 5 |