Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bh |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-15155200 = -1 · 214 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -6 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,463] |
[a1,a2,a3,a4,a6] |
Generators |
[7:8:1] [-3:28:1] |
Generators of the group modulo torsion |
j |
-393040/37 |
j-invariant |
L |
6.0654743445606 |
L(r)(E,1)/r! |
Ω |
2.1627968294951 |
Real period |
R |
0.70111467034717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200dc1 3700c1 59200bn1 |
Quadratic twists by: -4 8 5 |