Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102752c |
Isogeny class |
Conductor |
102752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1960050828110336 = -1 · 29 · 139 · 192 |
Discriminant |
Eigenvalues |
2+ 3 1 -5 0 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13013,-2051998] |
[a1,a2,a3,a4,a6] |
Generators |
[13575786:188669753:74088] |
Generators of the group modulo torsion |
j |
98611128/793117 |
j-invariant |
L |
10.780877855034 |
L(r)(E,1)/r! |
Ω |
0.23169089362198 |
Real period |
R |
11.632824325465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102752n1 7904f1 |
Quadratic twists by: -4 13 |