Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800ce |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3198487500000000 = -1 · 28 · 39 · 511 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10800,-2686500] |
[a1,a2,a3,a4,a6] |
Generators |
[114:162:1] |
Generators of the group modulo torsion |
j |
1769472/40625 |
j-invariant |
L |
5.3288207252747 |
L(r)(E,1)/r! |
Ω |
0.21731448992288 |
Real period |
R |
3.0651549783666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11700c1 46800cd1 9360w1 |
Quadratic twists by: -4 -3 5 |