Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bw |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-45697652043750000 = -1 · 24 · 310 · 58 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17625,-10324375] |
[a1,a2,a3,a4,a6] |
Generators |
[325:4275:1] |
Generators of the group modulo torsion |
j |
-132893440/10029663 |
j-invariant |
L |
5.6701595594452 |
L(r)(E,1)/r! |
Ω |
0.15839087565972 |
Real period |
R |
0.99440344996237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999370317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900k1 119700bm1 |
Quadratic twists by: -3 5 |