Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475q |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
-516965015076125 = -1 · 53 · 710 · 114 |
Discriminant |
Eigenvalues |
1 1 5- 7- 11- -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10754,-1005287] |
[a1,a2,a3,a4,a6] |
j |
3895843/14641 |
j-invariant |
L |
2.1203364592731 |
L(r)(E,1)/r! |
Ω |
0.26504205740914 |
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 |
121275ga1 13475t1 13475l1 |
Quadratic twists by: -3 5 -7 |