Atkin-Lehner |
3+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
101175b |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
508710786712453125 = 33 · 56 · 198 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-323475,61807500] |
[a1,a2,a3,a4,a6] |
Generators |
[4070137820944236226:-138916426065231595527:3043959831654776] |
Generators of the group modulo torsion |
j |
239567526307316017/32557490349597 |
j-invariant |
L |
7.1063516533598 |
L(r)(E,1)/r! |
Ω |
0.28265613272994 |
Real period |
R |
25.141331961517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4047a4 |
Quadratic twists by: 5 |