Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723i |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1594007830107 = 33 · 710 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1474754,688716020] |
[a1,a2,a3,a4,a6] |
Generators |
[701:-338:1] |
Generators of the group modulo torsion |
j |
3015048057243061393/13548843 |
j-invariant |
L |
1.5947101077766 |
L(r)(E,1)/r! |
Ω |
0.56970697541445 |
Real period |
R |
2.7991760266168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92169bk4 4389f3 |
Quadratic twists by: -3 -7 |