Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723bc |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
18970315749 = 37 · 73 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11- -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1297,-17153] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:16:1] [-19:31:1] |
Generators of the group modulo torsion |
j |
704018907136/55307043 |
j-invariant |
L |
7.0324851342809 |
L(r)(E,1)/r! |
Ω |
0.79945473561943 |
Real period |
R |
0.20944290500086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169l1 30723o1 |
Quadratic twists by: -3 -7 |