Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bv |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
115474841719953408 = 211 · 310 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-488235,130286266] |
[a1,a2,a3,a4,a6] |
Generators |
[-550:15246:1] [297:3388:1] |
Generators of the group modulo torsion |
j |
4866277250/43659 |
j-invariant |
L |
12.321913702731 |
L(r)(E,1)/r! |
Ω |
0.33404594904037 |
Real period |
R |
1.1527150807699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984bv2 40656y2 11088i2 |
Quadratic twists by: -4 -3 -11 |