Atkin-Lehner |
2+ 5+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520h |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24165152000 = 28 · 53 · 112 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-956,-8900] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:44:1] |
Generators of the group modulo torsion |
j |
377843214544/94395125 |
j-invariant |
L |
2.4270806701353 |
L(r)(E,1)/r! |
Ω |
0.87424371636972 |
Real period |
R |
1.3881030115069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34760i2 |
Quadratic twists by: -4 |