Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200l |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-918000 = -1 · 24 · 33 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -1 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-728,-7323] |
[a1,a2,a3,a4,a6] |
j |
-21364083968/459 |
j-invariant |
L |
1.8380039647385 |
L(r)(E,1)/r! |
Ω |
0.45950099118463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400bo1 81600em1 30600cv1 10200br1 |
Quadratic twists by: -4 8 -3 5 |