Atkin-Lehner |
5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385h |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
117074922995095 = 5 · 13 · 239 |
Discriminant |
Eigenvalues |
-1 1 5- 1 -2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-582440,-171137863] |
[a1,a2,a3,a4,a6] |
Generators |
[-30403427:16813841:68921] |
Generators of the group modulo torsion |
j |
147608144916049/790855 |
j-invariant |
L |
3.9762505292791 |
L(r)(E,1)/r! |
Ω |
0.17281717124177 |
Real period |
R |
5.752105680107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1495a1 |
Quadratic twists by: -23 |