Atkin-Lehner |
2+ 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512f |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4915881192621966336 = 210 · 310 · 74 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723099,-211266970] |
[a1,a2,a3,a4,a6] |
Generators |
[220955:7938864:125] |
Generators of the group modulo torsion |
j |
56013087225531748/6585274660041 |
j-invariant |
L |
8.5082630796521 |
L(r)(E,1)/r! |
Ω |
0.1649761213153 |
Real period |
R |
6.4465867803542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020791 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42504n3 |
Quadratic twists by: -3 |