Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200dp |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-68014080000000000 = -1 · 221 · 34 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-315208,-69366412] |
[a1,a2,a3,a4,a6] |
j |
-86587817425/1700352 |
j-invariant |
L |
1.6100325677768 |
L(r)(E,1)/r! |
Ω |
0.10062703543655 |
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 |
6150g1 49200cq1 |
Quadratic twists by: -4 5 |