Atkin-Lehner |
3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10731c |
Isogeny class |
Conductor |
10731 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-715832634573 = -1 · 35 · 79 · 73 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -2 -5 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1079,42482] |
[a1,a2,a3,a4,a6] |
Generators |
[20:161:1] |
Generators of the group modulo torsion |
j |
-3442951/17739 |
j-invariant |
L |
1.6574260753259 |
L(r)(E,1)/r! |
Ω |
0.78250537848767 |
Real period |
R |
1.0590509157452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32193g1 10731d1 |
Quadratic twists by: -3 -7 |