Atkin-Lehner |
2- 3- 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62118bf |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1218683600064 = -1 · 26 · 38 · 7 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6773,-219315] |
[a1,a2,a3,a4,a6] |
Generators |
[107:468:1] |
Generators of the group modulo torsion |
j |
-47128030999561/1671719616 |
j-invariant |
L |
9.5094841493864 |
L(r)(E,1)/r! |
Ω |
0.26258811523004 |
Real period |
R |
3.0178708268335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20706a1 |
Quadratic twists by: -3 |