Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240r |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
414072000000 = 29 · 36 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 2 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3387,69266] |
[a1,a2,a3,a4,a6] |
Generators |
[2:250:1] |
Generators of the group modulo torsion |
j |
11512557512/1109375 |
j-invariant |
L |
8.9781552968144 |
L(r)(E,1)/r! |
Ω |
0.91908449746 |
Real period |
R |
1.6280975443682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240bz1 11360k1 |
Quadratic twists by: -4 -3 |