Atkin-Lehner |
3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
41325d |
Isogeny class |
Conductor |
41325 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
14929920 |
Modular degree for the optimal curve |
Δ |
-9.7941583232008E+26 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,146228867,-1343156132832] |
[a1,a2,a3,a4,a6] |
Generators |
[14703976:3138117016:343] |
Generators of the group modulo torsion |
j |
22131101411620555298177024/62682613268485060546875 |
j-invariant |
L |
4.8637022252689 |
L(r)(E,1)/r! |
Ω |
0.025401408406854 |
Real period |
R |
1.5956143544518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975y1 8265c1 |
Quadratic twists by: -3 5 |