Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600w |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2718720 |
Modular degree for the optimal curve |
Δ |
-1775975438700000000 = -1 · 28 · 310 · 58 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3427500,-2443227500] |
[a1,a2,a3,a4,a6] |
Generators |
[2250:35150:1] |
Generators of the group modulo torsion |
j |
-61084155520000/24361803 |
j-invariant |
L |
6.7838297981529 |
L(r)(E,1)/r! |
Ω |
0.055477234459495 |
Real period |
R |
5.0950552825375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999444426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200bj1 120600bs1 |
Quadratic twists by: -3 5 |