Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800dd |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-133120000000000 = -1 · 220 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40833,-3210463] |
[a1,a2,a3,a4,a6] |
Generators |
[4876749:398656448:729] |
Generators of the group modulo torsion |
j |
-2941225/52 |
j-invariant |
L |
7.2427585900114 |
L(r)(E,1)/r! |
Ω |
0.16774911175217 |
Real period |
R |
10.794034189451 |
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 |
20800bd1 5200r1 20800du1 |
Quadratic twists by: -4 8 5 |