Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090u |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.0270987360492E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5021,-1541928034] |
[a1,a2,a3,a4,a6] |
Generators |
[1471:39872:1] [1894:71597:1] |
Generators of the group modulo torsion |
j |
119022883559/8730195208197120 |
j-invariant |
L |
8.5124379774889 |
L(r)(E,1)/r! |
Ω |
0.071480645187278 |
Real period |
R |
3.7214785359093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870a2 |
Quadratic twists by: -7 |