Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294t |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3347570381508864 = 28 · 36 · 72 · 194 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56139,4273401] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:3102:1] |
Generators of the group modulo torsion |
j |
19566728211960999217/3347570381508864 |
j-invariant |
L |
7.0571614640992 |
L(r)(E,1)/r! |
Ω |
0.42595112147062 |
Real period |
R |
1.0355004818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126882u2 |
Quadratic twists by: -3 |