Atkin-Lehner |
2- 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010bi |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-390087658321920 = -1 · 211 · 39 · 5 · 13 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24707,1777411] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1436:1] |
Generators of the group modulo torsion |
j |
-84737566171467/19818506240 |
j-invariant |
L |
9.335244549712 |
L(r)(E,1)/r! |
Ω |
0.50964384439019 |
Real period |
R |
0.27753322402763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010c1 |
Quadratic twists by: -3 |