Atkin-Lehner |
5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10465c |
Isogeny class |
Conductor |
10465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9088 |
Modular degree for the optimal curve |
Δ |
1308125 = 54 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2 -2 5+ 7- -5 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2696,-54789] |
[a1,a2,a3,a4,a6] |
j |
2167926001537024/1308125 |
j-invariant |
L |
1.3250619127082 |
L(r)(E,1)/r! |
Ω |
0.66253095635411 |
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 |
94185bh1 52325a1 73255n1 |
Quadratic twists by: -3 5 -7 |