Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150cw |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-25320211200000000 = -1 · 214 · 310 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60070,5132697] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1815:1] |
Generators of the group modulo torsion |
j |
84181337735/88915968 |
j-invariant |
L |
9.3522618844337 |
L(r)(E,1)/r! |
Ω |
0.24973247324587 |
Real period |
R |
0.44582288221503 |
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 |
10050h1 30150u1 |
Quadratic twists by: -3 5 |