Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150x |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1390880742187500 = -1 · 22 · 312 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28242,-2553584] |
[a1,a2,a3,a4,a6] |
j |
-349938025/195372 |
j-invariant |
L |
2.8718083612149 |
L(r)(E,1)/r! |
Ω |
0.17948802257567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050u1 30150cy1 |
Quadratic twists by: -3 5 |