Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110cc |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
8.9665237884391E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15603365,18841246955] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:58268:1] |
Generators of the group modulo torsion |
j |
3571003510905229697089/762141946675200000 |
j-invariant |
L |
7.1040524194809 |
L(r)(E,1)/r! |
Ω |
0.10144416723974 |
Real period |
R |
0.77810206263969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57330bi1 95550dj1 2730z1 |
Quadratic twists by: -3 5 -7 |