Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320w |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
40666752000 = 210 · 33 · 53 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1203,12798] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:164:1] |
Generators of the group modulo torsion |
j |
6963969708/1470875 |
j-invariant |
L |
4.2031983253364 |
L(r)(E,1)/r! |
Ω |
1.0840583091177 |
Real period |
R |
1.9386403295333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103320b1 |
Quadratic twists by: -3 |