Atkin-Lehner |
3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52215d |
Isogeny class |
Conductor |
52215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
632708004615 = 3 · 5 · 596 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-278552,-56702019] |
[a1,a2,a3,a4,a6] |
Generators |
[4325497559750153107750:-247467917132651415114831:1309001105246921416] |
Generators of the group modulo torsion |
j |
56667352321/15 |
j-invariant |
L |
7.4816581469677 |
L(r)(E,1)/r! |
Ω |
0.20781303656095 |
Real period |
R |
36.001871060603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15a7 |
Quadratic twists by: -59 |