Atkin-Lehner |
3+ 7- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10101a |
Isogeny class |
Conductor |
10101 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-585524667 = -1 · 3 · 74 · 133 · 37 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 5 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,177,-793] |
[a1,a2,a3,a4,a6] |
Generators |
[25:136:1] |
Generators of the group modulo torsion |
j |
609800192000/585524667 |
j-invariant |
L |
3.3896429007261 |
L(r)(E,1)/r! |
Ω |
0.89121593827952 |
Real period |
R |
0.31694927075977 |
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 |
30303j1 70707j1 |
Quadratic twists by: -3 -7 |