Atkin-Lehner |
3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30153c |
Isogeny class |
Conductor |
30153 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0902173529585E+19 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2993622,-1988533374] |
[a1,a2,a3,a4,a6] |
Generators |
[-40748929201222817003300942:523985569952414381043803:39029010650905177580761] |
Generators of the group modulo torsion |
j |
20042301472793137/73645476129 |
j-invariant |
L |
3.7919959555758 |
L(r)(E,1)/r! |
Ω |
0.11480116252241 |
Real period |
R |
33.03098916647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90459q2 1311a2 |
Quadratic twists by: -3 -23 |