Atkin-Lehner |
2- 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310cm |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-134556335437020 = -1 · 22 · 3 · 5 · 78 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39495,3055737] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:896:1] |
Generators of the group modulo torsion |
j |
-1181861087281/23341020 |
j-invariant |
L |
10.13581351042 |
L(r)(E,1)/r! |
Ω |
0.58395779634794 |
Real period |
R |
2.8928498903524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310cx1 |
Quadratic twists by: -7 |