Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ba |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-682584415030546875 = -1 · 39 · 57 · 79 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- -2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-463050,127628156] |
[a1,a2,a3,a4,a6] |
Generators |
[490:4287:1] |
Generators of the group modulo torsion |
j |
-884736/55 |
j-invariant |
L |
5.6434045251888 |
L(r)(E,1)/r! |
Ω |
0.28240755293076 |
Real period |
R |
1.2489495274428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275o1 24255u1 121275z1 |
Quadratic twists by: -3 5 -7 |