Atkin-Lehner |
2+ 3+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30552b |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
9072000 |
Modular degree for the optimal curve |
Δ |
-1.9512675876567E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1106057896,-14158055022116] |
[a1,a2,a3,a4,a6] |
Generators |
[84345382:17365588764:1331] |
Generators of the group modulo torsion |
j |
-146136040894046052303137127076/190553475357102801 |
j-invariant |
L |
4.4100236415943 |
L(r)(E,1)/r! |
Ω |
0.013089561376119 |
Real period |
R |
5.6151915189968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61104i1 91656q1 |
Quadratic twists by: -4 -3 |