Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360l |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-24459227100000000 = -1 · 28 · 33 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6876,-7525440] |
[a1,a2,a3,a4,a6] |
Generators |
[404:7448:1] [134045:4360902:125] |
Generators of the group modulo torsion |
j |
-1193895376/812109375 |
j-invariant |
L |
10.042348125132 |
L(r)(E,1)/r! |
Ω |
0.17030844464336 |
Real period |
R |
29.482824958849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680x1 18480x1 |
Quadratic twists by: -4 -7 |