Atkin-Lehner |
2- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
90640u |
Isogeny class |
Conductor |
90640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3625600000000 = -1 · 213 · 58 · 11 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11- -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4240,138900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-250:1] |
Generators of the group modulo torsion |
j |
-2058561081361/885156250 |
j-invariant |
L |
5.8024797859246 |
L(r)(E,1)/r! |
Ω |
0.73861527354636 |
Real period |
R |
0.49099307792161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330i1 |
Quadratic twists by: -4 |