Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550c |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
2974320000000000 = 213 · 37 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -5 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48450,3136500] |
[a1,a2,a3,a4,a6] |
Generators |
[71:211:1] |
Generators of the group modulo torsion |
j |
1288009359025/304570368 |
j-invariant |
L |
2.2045099511707 |
L(r)(E,1)/r! |
Ω |
0.42397355899088 |
Real period |
R |
5.1996401766603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400de1 81600dc1 7650cc1 2550bf1 |
Quadratic twists by: -4 8 -3 5 |