Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275fz |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
3094331625 = 38 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-545,4232] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:30:1] [-12:100:1] |
Generators of the group modulo torsion |
j |
571787/99 |
j-invariant |
L |
7.4708439425511 |
L(r)(E,1)/r! |
Ω |
1.3551850466395 |
Real period |
R |
1.3781962765457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425dd1 121275fr1 121275fx1 |
Quadratic twists by: -3 5 -7 |