Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200m |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10404000000000 = 211 · 32 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1541208,736958412] |
[a1,a2,a3,a4,a6] |
Generators |
[-783:38250:1] |
Generators of the group modulo torsion |
j |
101215672859338/2601 |
j-invariant |
L |
3.1508517178041 |
L(r)(E,1)/r! |
Ω |
0.52586032239201 |
Real period |
R |
2.9959017477033 |
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 |
20400bp2 81600ev2 30600cp2 10200bm2 |
Quadratic twists by: -4 8 -3 5 |