Atkin-Lehner |
2- 3+ 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210t |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-4123541537280 = -1 · 29 · 33 · 5 · 112 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2707,80597] |
[a1,a2,a3,a4,a6] |
Generators |
[31:424:1] |
Generators of the group modulo torsion |
j |
81278393936013/152723760640 |
j-invariant |
L |
10.982210458606 |
L(r)(E,1)/r! |
Ω |
0.53721647371563 |
Real period |
R |
1.7035669036172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002011 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
78210e2 |
Quadratic twists by: -3 |