Atkin-Lehner |
2- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30940k |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
764731117855250000 = 24 · 56 · 712 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1111825,-449640000] |
[a1,a2,a3,a4,a6] |
Generators |
[-640:440:1] |
Generators of the group modulo torsion |
j |
9499777325900986925056/47795694865953125 |
j-invariant |
L |
3.983285751305 |
L(r)(E,1)/r! |
Ω |
0.1470692695328 |
Real period |
R |
4.5140698710192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
123760bj1 |
Quadratic twists by: -4 |