Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200bp |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-105472000000000 = -1 · 219 · 59 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -1 -1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6792,-442412] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1250:1] |
Generators of the group modulo torsion |
j |
4330747/13184 |
j-invariant |
L |
2.4703472292998 |
L(r)(E,1)/r! |
Ω |
0.30497376673188 |
Real period |
R |
2.0250489540216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150h1 41200bw1 |
Quadratic twists by: -4 5 |