Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960du |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-45654381527040000 = -1 · 218 · 311 · 54 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96123,15403178] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:5184:1] |
Generators of the group modulo torsion |
j |
-32894113444921/15289560000 |
j-invariant |
L |
6.6856714265284 |
L(r)(E,1)/r! |
Ω |
0.33546510222234 |
Real period |
R |
1.2455974155847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870bn1 34320bi1 |
Quadratic twists by: -4 -3 |