Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gc |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-191600640000000000 = -1 · 220 · 35 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,102592,-16804812] |
[a1,a2,a3,a4,a6] |
Generators |
[394:9216:1] |
Generators of the group modulo torsion |
j |
1865864036231/2993760000 |
j-invariant |
L |
7.832387600566 |
L(r)(E,1)/r! |
Ω |
0.16807066072656 |
Real period |
R |
2.3300877016116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bu1 18480bu1 |
Quadratic twists by: -4 5 |