Atkin-Lehner |
2+ 3+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440q |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
692640000 = 28 · 32 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2540,50112] |
[a1,a2,a3,a4,a6] |
Generators |
[4:200:1] |
Generators of the group modulo torsion |
j |
7081999104976/2705625 |
j-invariant |
L |
8.4847676392961 |
L(r)(E,1)/r! |
Ω |
1.5816356744676 |
Real period |
R |
1.3411381215015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720q2 |
Quadratic twists by: -4 |