Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600u |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-9814051584000000 = -1 · 214 · 33 · 56 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 1 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51067,-1745763] |
[a1,a2,a3,a4,a6] |
j |
57530252288/38336139 |
j-invariant |
L |
1.1611229833814 |
L(r)(E,1)/r! |
Ω |
0.23222459271233 |
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 |
81600il1 10200q1 3264n1 |
Quadratic twists by: -4 8 5 |