Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55860c |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
5589378105570000 = 24 · 36 · 54 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1354621,607281970] |
[a1,a2,a3,a4,a6] |
Generators |
[4874:22275:8] |
Generators of the group modulo torsion |
j |
425770043441152/8656875 |
j-invariant |
L |
2.8344992843787 |
L(r)(E,1)/r! |
Ω |
0.39446622815965 |
Real period |
R |
3.5928288431817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55860be1 |
Quadratic twists by: -7 |