Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cf |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9884160 |
Modular degree for the optimal curve |
Δ |
-8.4930151549129E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18137901,-32874110552] |
[a1,a2,a3,a4,a6] |
Generators |
[76187:20957406:1] |
Generators of the group modulo torsion |
j |
-861923363555648023441/110929177533556800 |
j-invariant |
L |
5.6257043606777 |
L(r)(E,1)/r! |
Ω |
0.036317265482607 |
Real period |
R |
7.7452201958486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170bl1 80850c1 |
Quadratic twists by: 5 -7 |