Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30324c |
Isogeny class |
Conductor |
30324 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-995867209008 = -1 · 24 · 33 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2407,14694] |
[a1,a2,a3,a4,a6] |
Generators |
[70:722:1] [106:1204:1] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
7.2388204279272 |
L(r)(E,1)/r! |
Ω |
0.54827565592308 |
Real period |
R |
6.6014424949618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296cm1 90972i1 84a1 |
Quadratic twists by: -4 -3 -19 |