Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410cl |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-271427123179520 = -1 · 212 · 5 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6747,822539] |
[a1,a2,a3,a4,a6] |
Generators |
[59:762:1] |
Generators of the group modulo torsion |
j |
-288673724529/2307092480 |
j-invariant |
L |
10.987670624079 |
L(r)(E,1)/r! |
Ω |
0.47192665044974 |
Real period |
R |
1.9402151090822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630q1 |
Quadratic twists by: -7 |