Atkin-Lehner |
2- 3- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510bi |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-3787334058656116800 = -1 · 26 · 321 · 52 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1252292,-547147609] |
[a1,a2,a3,a4,a6] |
j |
-297928930275221509369/5195245622299200 |
j-invariant |
L |
5.1324682034456 |
L(r)(E,1)/r! |
Ω |
0.071284273590636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40170j1 |
Quadratic twists by: -3 |