Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680l |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7452426240000 = -1 · 219 · 32 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2879,-118079] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-800:1] [273:4576:1] |
Generators of the group modulo torsion |
j |
10063705679/28428750 |
j-invariant |
L |
9.4876088385205 |
L(r)(E,1)/r! |
Ω |
0.38146959759275 |
Real period |
R |
3.1089007147982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fl2 3990bc2 |
Quadratic twists by: -4 8 |