Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450cc |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1993862502779062500 = -1 · 22 · 312 · 57 · 13 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-330213,-99885969] |
[a1,a2,a3,a4,a6] |
Generators |
[51357:2093150:27] |
Generators of the group modulo torsion |
j |
-254850956966062729/127607200177860 |
j-invariant |
L |
7.4486927790476 |
L(r)(E,1)/r! |
Ω |
0.097270786288519 |
Real period |
R |
9.5721092934288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090j4 |
Quadratic twists by: 5 |