Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ev |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-16411008796875 = -1 · 311 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11- -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2625,187906] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:137:1] [85:1012:1] |
Generators of the group modulo torsion |
j |
3584000/29403 |
j-invariant |
L |
5.897780424679 |
L(r)(E,1)/r! |
Ω |
0.50822257369208 |
Real period |
R |
0.7252949703398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425r1 4851t1 121275cw1 |
Quadratic twists by: -3 5 -7 |