Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116032bd |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-24462679392256 = -1 · 214 · 79 · 37 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 1 -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7317,-341069] |
[a1,a2,a3,a4,a6] |
Generators |
[9060:77861:64] |
Generators of the group modulo torsion |
j |
-65536/37 |
j-invariant |
L |
2.5795493116542 |
L(r)(E,1)/r! |
Ω |
0.25152071789309 |
Real period |
R |
5.1279063119843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998367803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032d1 29008n1 116032bc1 |
Quadratic twists by: -4 8 -7 |