Atkin-Lehner |
2+ 3- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690t |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
1482242457600 = 216 · 36 · 52 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5049,-123795] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:471:8] [-39:132:1] |
Generators of the group modulo torsion |
j |
19528130963089/2033254400 |
j-invariant |
L |
7.8458975661136 |
L(r)(E,1)/r! |
Ω |
0.57017242344195 |
Real period |
R |
6.8802850197943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12410n1 |
Quadratic twists by: -3 |