Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ek |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-71688085159477248 = -1 · 216 · 36 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-253011,50649874] |
[a1,a2,a3,a4,a6] |
j |
-338608873/13552 |
j-invariant |
L |
2.7459477716589 |
L(r)(E,1)/r! |
Ω |
0.34324335867397 |
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 |
15246s1 13552r1 11088cb1 |
Quadratic twists by: -4 -3 -11 |