Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
51480bv |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-7034764779900000000 = -1 · 28 · 37 · 58 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-887727,346303154] |
[a1,a2,a3,a4,a6] |
Generators |
[-526:-160875:8] [-797:23400:1] |
Generators of the group modulo torsion |
j |
-414566786956390864/37694855859375 |
j-invariant |
L |
9.4734081099595 |
L(r)(E,1)/r! |
Ω |
0.23074000915171 |
Real period |
R |
0.42767327106187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960bj1 17160c1 |
Quadratic twists by: -4 -3 |