Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723i |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
183571146638649 = 36 · 78 · 112 · 192 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92219,10720856] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:4711:1] |
Generators of the group modulo torsion |
j |
737219801902753/1560329001 |
j-invariant |
L |
1.5947101077766 |
L(r)(E,1)/r! |
Ω |
0.56970697541445 |
Real period |
R |
1.3995880133084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92169bk2 4389f2 |
Quadratic twists by: -3 -7 |