Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398c |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-8451244032 = -1 · 214 · 3 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-380,-5424] |
[a1,a2,a3,a4,a6] |
Generators |
[25:26:1] |
Generators of the group modulo torsion |
j |
-6093390759625/8451244032 |
j-invariant |
L |
2.7551623467864 |
L(r)(E,1)/r! |
Ω |
0.51440563560656 |
Real period |
R |
2.6780056011028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184cj1 40194by1 93786bg1 |
Quadratic twists by: -4 -3 -7 |