Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850bz |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4405951833035156250 = 2 · 3 · 59 · 710 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6521901251,202725452017148] |
[a1,a2,a3,a4,a6] |
Generators |
[130980904107992:-65353065401199:2809189531] |
Generators of the group modulo torsion |
j |
16689299266861680229173649/2396798250 |
j-invariant |
L |
6.7315297714302 |
L(r)(E,1)/r! |
Ω |
0.097538021420188 |
Real period |
R |
17.253604468473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bn8 11550c7 |
Quadratic twists by: 5 -7 |