Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150by |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
65938050000000 = 27 · 39 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34805,2477197] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1340:1] |
Generators of the group modulo torsion |
j |
606436875/8576 |
j-invariant |
L |
7.0543612204111 |
L(r)(E,1)/r! |
Ω |
0.62112882045557 |
Real period |
R |
0.27041247468628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30150l1 30150k1 |
Quadratic twists by: -3 5 |