Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275cj |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-3699458098875 = -1 · 33 · 53 · 77 · 113 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11- -4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2205,100756] |
[a1,a2,a3,a4,a6] |
Generators |
[91:808:1] [-350:2691:8] |
Generators of the group modulo torsion |
j |
-2985984/9317 |
j-invariant |
L |
5.9698650856528 |
L(r)(E,1)/r! |
Ω |
0.69188024916954 |
Real period |
R |
0.17975970440666 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000016797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275by1 121275cg1 17325f1 |
Quadratic twists by: -3 5 -7 |