Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200n |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-99630000 = -1 · 24 · 35 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -1 -4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7483,251662] |
[a1,a2,a3,a4,a6] |
Generators |
[38:144:1] |
Generators of the group modulo torsion |
j |
-4634565068800/9963 |
j-invariant |
L |
5.2971125189174 |
L(r)(E,1)/r! |
Ω |
1.6304646477395 |
Real period |
R |
3.2488361684152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600t1 49200z1 |
Quadratic twists by: -4 5 |