Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475v |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-6068804177734375 = -1 · 59 · 710 · 11 |
Discriminant |
Eigenvalues |
-1 2 5- 7- 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98638,12457906] |
[a1,a2,a3,a4,a6] |
j |
-461889917/26411 |
j-invariant |
L |
0.8384657983002 |
L(r)(E,1)/r! |
Ω |
0.4192328991501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275fu1 13475s1 1925m1 |
Quadratic twists by: -3 5 -7 |