Atkin-Lehner |
3- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72471r |
Isogeny class |
Conductor |
72471 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-408732743979 = -1 · 35 · 76 · 17 · 292 |
Discriminant |
Eigenvalues |
-2 3- -1 7- -3 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,964,28844] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-131:1] [16:-221:1] |
Generators of the group modulo torsion |
j |
841232384/3474171 |
j-invariant |
L |
6.008849519802 |
L(r)(E,1)/r! |
Ω |
0.67557077161255 |
Real period |
R |
0.44472391142473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1479a1 |
Quadratic twists by: -7 |