Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275eg |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-106179797893640625 = -1 · 37 · 56 · 710 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-281367,-59476334] |
[a1,a2,a3,a4,a6] |
j |
-765625/33 |
j-invariant |
L |
3.7218593943028 |
L(r)(E,1)/r! |
Ω |
0.10338499295094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425o1 4851r1 121275cr1 |
Quadratic twists by: -3 5 -7 |