Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30324a |
Isogeny class |
Conductor |
30324 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.7241495608522E+25 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 6 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66515092,60735862600] |
[a1,a2,a3,a4,a6] |
Generators |
[115530:-871454:125] |
Generators of the group modulo torsion |
j |
2702232642991073488/1431572558302971 |
j-invariant |
L |
5.5386926536212 |
L(r)(E,1)/r! |
Ω |
0.060723387127022 |
Real period |
R |
7.6009877408452 |
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 |
121296dh2 90972d2 1596c2 |
Quadratic twists by: -4 -3 -19 |