Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400ca |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-9104995123200 = -1 · 226 · 34 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4272,96192] |
[a1,a2,a3,a4,a6] |
Generators |
[696:18432:1] |
Generators of the group modulo torsion |
j |
84181337735/88915968 |
j-invariant |
L |
6.5187858878489 |
L(r)(E,1)/r! |
Ω |
0.48360485494423 |
Real period |
R |
1.6849463506945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050bg1 80400dl1 |
Quadratic twists by: -4 5 |