Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850q |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-1.4796481675666E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2800375,-2585459435] |
[a1,a2,a3,a4,a6] |
Generators |
[52821:12107288:1] |
Generators of the group modulo torsion |
j |
-825741822267180625/503072076283392 |
j-invariant |
L |
4.3897426780181 |
L(r)(E,1)/r! |
Ω |
0.056776825838152 |
Real period |
R |
5.5225533246149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850hf1 11550v1 |
Quadratic twists by: 5 -7 |