Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837u |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-7.2339471413227E+20 |
Discriminant |
Eigenvalues |
2 3- -4 7- -3 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,923883,-1248077219] |
[a1,a2,a3,a4,a6] |
Generators |
[95474:10459913:8] |
Generators of the group modulo torsion |
j |
119631930643843813376/992310993322734267 |
j-invariant |
L |
7.365206655951 |
L(r)(E,1)/r! |
Ω |
0.079548140540509 |
Real period |
R |
1.1573505373454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279f1 |
Quadratic twists by: -3 |