Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850bw |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
4.0449446816625E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4906151,-2852057302] |
[a1,a2,a3,a4,a6] |
Generators |
[3207:118396:1] |
Generators of the group modulo torsion |
j |
20713044141847/6415200000 |
j-invariant |
L |
6.1462839284581 |
L(r)(E,1)/r! |
Ω |
0.10389729349522 |
Real period |
R |
2.4648877273702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bi1 80850e1 |
Quadratic twists by: 5 -7 |