Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7038i |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-2280312 = -1 · 23 · 36 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 -6 6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-540,4968] |
[a1,a2,a3,a4,a6] |
j |
-23912763841/3128 |
j-invariant |
L |
2.4980387768247 |
L(r)(E,1)/r! |
Ω |
2.4980387768247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56304bs1 782b1 119646t1 |
Quadratic twists by: -4 -3 17 |