Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350bl |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-222480000000 = -1 · 210 · 33 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 -2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,145,22647] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:66:1] [-21:110:1] |
Generators of the group modulo torsion |
j |
804357/527360 |
j-invariant |
L |
12.418286756128 |
L(r)(E,1)/r! |
Ω |
0.77588729946433 |
Real period |
R |
0.20006589173295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46350c1 9270e1 |
Quadratic twists by: -3 5 |