Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275bx |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
163857712798828125 = 33 · 59 · 710 · 11 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 11+ -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-900375,-328261719] |
[a1,a2,a3,a4,a6] |
Generators |
[51349754248250:13142117675178901:783777448] |
Generators of the group modulo torsion |
j |
5419008/11 |
j-invariant |
L |
13.509024003364 |
L(r)(E,1)/r! |
Ω |
0.15500534000697 |
Real period |
R |
21.787997759878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275ci1 121275ca1 121275bm1 |
Quadratic twists by: -3 5 -7 |