Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6230f |
Isogeny class |
Conductor |
6230 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1731840 |
Modular degree for the optimal curve |
Δ |
-9.0452050600014E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -1 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80710138,535995484217] |
[a1,a2,a3,a4,a6] |
Generators |
[5105:504391:1] |
Generators of the group modulo torsion |
j |
-58144411162576105299387164529/90452050600014189420544000 |
j-invariant |
L |
5.3431181922476 |
L(r)(E,1)/r! |
Ω |
0.054150025656589 |
Real period |
R |
1.2334062005189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49840o1 56070n1 31150g1 43610ba1 |
Quadratic twists by: -4 -3 5 -7 |