Atkin-Lehner |
2+ 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512f |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.2859442867239E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2817939,1598255822] |
[a1,a2,a3,a4,a6] |
Generators |
[52470030:1588452749:27000] |
Generators of the group modulo torsion |
j |
1657528462056674594/220091218621659 |
j-invariant |
L |
8.5082630796521 |
L(r)(E,1)/r! |
Ω |
0.1649761213153 |
Real period |
R |
12.893173560708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504n6 |
Quadratic twists by: -3 |