Atkin-Lehner |
2+ 3+ 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370g |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1553096562840 = -1 · 23 · 39 · 5 · 19 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1284,-62200] |
[a1,a2,a3,a4,a6] |
Generators |
[422:761:8] |
Generators of the group modulo torsion |
j |
-11899199187/78905480 |
j-invariant |
L |
2.937877933021 |
L(r)(E,1)/r! |
Ω |
0.35486618335966 |
Real period |
R |
4.1394165959326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80370be1 |
Quadratic twists by: -3 |