Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275be |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-69651470921484375 = -1 · 39 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2067,12698216] |
[a1,a2,a3,a4,a6] |
Generators |
[-1618:18359:8] |
Generators of the group modulo torsion |
j |
-27/1925 |
j-invariant |
L |
9.1086018091327 |
L(r)(E,1)/r! |
Ω |
0.27647715577937 |
Real period |
R |
4.1181530167044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999386857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275v1 24255k1 17325d1 |
Quadratic twists by: -3 5 -7 |