Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710s |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-743729099269016250 = -1 · 2 · 38 · 54 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-167192,49062594] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:7091:1] |
Generators of the group modulo torsion |
j |
-21413157997609/30812096250 |
j-invariant |
L |
5.1944113279325 |
L(r)(E,1)/r! |
Ω |
0.25611837001373 |
Real period |
R |
2.5351614436852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630l2 |
Quadratic twists by: 17 |