Atkin-Lehner |
2+ 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570m |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-718310909925000 = -1 · 23 · 39 · 55 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22957,-1868411] |
[a1,a2,a3,a4,a6] |
Generators |
[183:226:1] |
Generators of the group modulo torsion |
j |
-27308798525721769/14659406325000 |
j-invariant |
L |
4.1050349210583 |
L(r)(E,1)/r! |
Ω |
0.18917700829226 |
Real period |
R |
4.3398877676531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570w1 |
Quadratic twists by: -7 |