Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850dw |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1.8990551574225E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14796188,-6354265219] |
[a1,a2,a3,a4,a6] |
Generators |
[-2129:125573:1] |
Generators of the group modulo torsion |
j |
194878967635813609/103306896000000 |
j-invariant |
L |
8.0129840497917 |
L(r)(E,1)/r! |
Ω |
0.08173558063888 |
Real period |
R |
2.450886133947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170z2 11550cj2 |
Quadratic twists by: 5 -7 |