Atkin-Lehner |
3+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
101175b |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7483050146390625 = 36 · 56 · 194 · 712 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-83850,-8402625] |
[a1,a2,a3,a4,a6] |
Generators |
[49389340:977106305:85184] |
Generators of the group modulo torsion |
j |
4172736682666657/478915209369 |
j-invariant |
L |
7.1063516533598 |
L(r)(E,1)/r! |
Ω |
0.28265613272994 |
Real period |
R |
12.570665980759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851369 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4047a2 |
Quadratic twists by: 5 |