Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384bb |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
-7.2728891362878E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3301692,3391636484] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:21294:1] [-191:52479:1] |
Generators of the group modulo torsion |
j |
21328773918339298304/38970813701816451 |
j-invariant |
L |
11.635587061201 |
L(r)(E,1)/r! |
Ω |
0.090975628688606 |
Real period |
R |
0.17763589899361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128w1 |
Quadratic twists by: -3 |