Atkin-Lehner |
3+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945f |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-645248835 = -1 · 36 · 5 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96,1307] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:293:8] |
Generators of the group modulo torsion |
j |
-98867482624/645248835 |
j-invariant |
L |
8.3244799893012 |
L(r)(E,1)/r! |
Ω |
1.3952294154441 |
Real period |
R |
0.99439799375835 |
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 |
65835bj1 109725br1 |
Quadratic twists by: -3 5 |