Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760be |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
595968 |
Modular degree for the optimal curve |
Δ |
378014376960 = 210 · 39 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168723,-26675298] |
[a1,a2,a3,a4,a6] |
Generators |
[682568:23561659:512] |
Generators of the group modulo torsion |
j |
26354533274892/18755 |
j-invariant |
L |
4.8615147162394 |
L(r)(E,1)/r! |
Ω |
0.23556241659023 |
Real period |
R |
10.318952600004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997818898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122760f1 |
Quadratic twists by: -3 |