Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bo |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-235200000000 = -1 · 212 · 3 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333,50037] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:300:1] |
Generators of the group modulo torsion |
j |
-17920/3 |
j-invariant |
L |
6.2718557627701 |
L(r)(E,1)/r! |
Ω |
0.95421637631961 |
Real period |
R |
1.0954635869646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600hv1 117600gr1 117600dn1 |
Quadratic twists by: -4 5 -7 |