Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9840h |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-7084800000 = -1 · 211 · 33 · 55 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -2 4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1000,12500] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-300:1] |
Generators of the group modulo torsion |
j |
-54054018002/3459375 |
j-invariant |
L |
5.9115470029132 |
L(r)(E,1)/r! |
Ω |
1.3060517402318 |
Real period |
R |
0.075437886836243 |
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 |
4920a1 39360bm1 29520k1 49200b1 |
Quadratic twists by: -4 8 -3 5 |