Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700k |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-39812500000000 = -1 · 28 · 512 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -5 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7175,-383250] |
[a1,a2,a3,a4,a6] |
Generators |
[18070:158138:125] |
Generators of the group modulo torsion |
j |
-208417104/203125 |
j-invariant |
L |
4.2483518455879 |
L(r)(E,1)/r! |
Ω |
0.24948674255412 |
Real period |
R |
8.5141835642865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12740f1 63700f1 |
Quadratic twists by: 5 -7 |