Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150bk |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1221075000000 = -1 · 26 · 36 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7242,244916] |
[a1,a2,a3,a4,a6] |
Generators |
[244:3478:1] [44:-122:1] |
Generators of the group modulo torsion |
j |
-147518145/4288 |
j-invariant |
L |
5.8454390776889 |
L(r)(E,1)/r! |
Ω |
0.8606680816883 |
Real period |
R |
0.56597884074574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3350f1 30150ch1 |
Quadratic twists by: -3 5 |