Atkin-Lehner |
5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7055a |
Isogeny class |
Conductor |
7055 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6600 |
Modular degree for the optimal curve |
Δ |
589240655 = 5 · 175 · 83 |
Discriminant |
Eigenvalues |
1 -2 5- -4 3 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6078,181853] |
[a1,a2,a3,a4,a6] |
Generators |
[17:280:1] |
Generators of the group modulo torsion |
j |
24825790198998361/589240655 |
j-invariant |
L |
2.9632002117993 |
L(r)(E,1)/r! |
Ω |
1.5108508681088 |
Real period |
R |
0.39225581747965 |
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 |
112880t1 63495i1 35275b1 119935a1 |
Quadratic twists by: -4 -3 5 17 |