Atkin-Lehner |
3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
114975bf |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-132011420625 = -1 · 310 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 3 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,-12659] |
[a1,a2,a3,a4,a6] |
Generators |
[60:481:1] |
Generators of the group modulo torsion |
j |
248459375/289737 |
j-invariant |
L |
7.6021547125783 |
L(r)(E,1)/r! |
Ω |
0.55909529624113 |
Real period |
R |
3.3993107724279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38325d1 114975bc1 |
Quadratic twists by: -3 5 |