Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950l |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
143103283200000000 = 218 · 39 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-444867,-112636459] |
[a1,a2,a3,a4,a6] |
Generators |
[1990:81949:1] |
Generators of the group modulo torsion |
j |
1266378438915/18612224 |
j-invariant |
L |
2.2241385428099 |
L(r)(E,1)/r! |
Ω |
0.18502420619363 |
Real period |
R |
3.0051994122353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31950bv1 31950bs2 |
Quadratic twists by: -3 5 |