Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650i |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
48735723093750 = 2 · 310 · 56 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28467,-1810809] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:213:1] [-95:219:1] |
Generators of the group modulo torsion |
j |
223980311017/4278582 |
j-invariant |
L |
6.3624924613567 |
L(r)(E,1)/r! |
Ω |
0.36797415049949 |
Real period |
R |
4.322649058854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550cg4 1386l3 |
Quadratic twists by: -3 5 |