Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690q |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.1489905547454E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2691909,2356424365] |
[a1,a2,a3,a4,a6] |
Generators |
[479:34064:1] |
Generators of the group modulo torsion |
j |
-2959220984352661428049/1576118730789286200 |
j-invariant |
L |
4.4106419401848 |
L(r)(E,1)/r! |
Ω |
0.14354118060813 |
Real period |
R |
1.2803067853358 |
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 |
10230w4 |
Quadratic twists by: -3 |