Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2950f |
Isogeny class |
Conductor |
2950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1843750 = -1 · 2 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 -1 3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-101,-402] |
[a1,a2,a3,a4,a6] |
Generators |
[12:6:1] |
Generators of the group modulo torsion |
j |
-7189057/118 |
j-invariant |
L |
1.9202232951538 |
L(r)(E,1)/r! |
Ω |
0.75315126235189 |
Real period |
R |
1.2747925889133 |
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 |
23600w1 94400v1 26550by1 118c1 |
Quadratic twists by: -4 8 -3 5 |