Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35880d |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
3.9330925428192E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37412031,87546678750] |
[a1,a2,a3,a4,a6] |
Generators |
[1149:214659:1] |
Generators of the group modulo torsion |
j |
361940846421653868727957504/2458182839261981203125 |
j-invariant |
L |
7.214057940342 |
L(r)(E,1)/r! |
Ω |
0.11561109384681 |
Real period |
R |
4.4570969423089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71760d1 107640bh1 |
Quadratic twists by: -4 -3 |