Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240m |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-126751586545152000 = -1 · 212 · 320 · 53 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -6 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107832,-21889744] |
[a1,a2,a3,a4,a6] |
Generators |
[452:4660:1] |
Generators of the group modulo torsion |
j |
-46438610512384/42448849875 |
j-invariant |
L |
6.6806861461897 |
L(r)(E,1)/r! |
Ω |
0.12693202059631 |
Real period |
R |
4.3860000168308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240v1 34080w1 |
Quadratic twists by: -4 -3 |