Atkin-Lehner |
2+ 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430x |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2804309913666870 = 2 · 310 · 5 · 73 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170919,-27035505] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:420:1] [-231:399:1] |
Generators of the group modulo torsion |
j |
757475591170033009/3846790005030 |
j-invariant |
L |
7.0961356453254 |
L(r)(E,1)/r! |
Ω |
0.23487381900821 |
Real period |
R |
5.0354240383839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810t3 |
Quadratic twists by: -3 |