Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600d |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
113568000000 = 211 · 3 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3785608,-2833728788] |
[a1,a2,a3,a4,a6] |
Generators |
[33066:1826275:8] |
Generators of the group modulo torsion |
j |
187491149065688834/3549 |
j-invariant |
L |
3.6124465017334 |
L(r)(E,1)/r! |
Ω |
0.10823447999179 |
Real period |
R |
8.344028866731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bx6 2184m5 |
Quadratic twists by: -4 5 |