Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111825o |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6359040 |
Modular degree for the optimal curve |
Δ |
-5.2436641825575E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -5 -4 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6560442,-6559194659] |
[a1,a2,a3,a4,a6] |
Generators |
[22724:3391313:1] |
Generators of the group modulo torsion |
j |
-2741419489343595481/46034911890765 |
j-invariant |
L |
3.5221897520751 |
L(r)(E,1)/r! |
Ω |
0.047119783813483 |
Real period |
R |
1.8687425162147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37275c1 22365i1 |
Quadratic twists by: -3 5 |