Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5100h |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3901500000000 = 28 · 33 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18708,-974088] |
[a1,a2,a3,a4,a6] |
Generators |
[-38264:16583:512] |
Generators of the group modulo torsion |
j |
1448301584/7803 |
j-invariant |
L |
3.2554434699645 |
L(r)(E,1)/r! |
Ω |
0.40834914608684 |
Real period |
R |
7.9722058957658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400dn2 81600ee2 15300bf2 5100p2 |
Quadratic twists by: -4 8 -3 5 |