Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gv |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
298045440 = 212 · 33 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-1485] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:15:1] |
Generators of the group modulo torsion |
j |
9834496/1485 |
j-invariant |
L |
9.1413321503646 |
L(r)(E,1)/r! |
Ω |
1.1994358614659 |
Real period |
R |
2.5404532207601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085h1 129360eu1 |
Quadratic twists by: -4 -7 |