Atkin-Lehner |
2- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102752o |
Isogeny class |
Conductor |
102752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-52920217885184 = -1 · 29 · 133 · 196 |
Discriminant |
Eigenvalues |
2- 3 3 -3 -2 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9269,67262] |
[a1,a2,a3,a4,a6] |
Generators |
[8082:301796:729] |
Generators of the group modulo torsion |
j |
78292892952/47045881 |
j-invariant |
L |
14.327819254623 |
L(r)(E,1)/r! |
Ω |
0.38656379646143 |
Real period |
R |
4.6330707141389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102752i1 102752h1 |
Quadratic twists by: -4 13 |