Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bx |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1943040 |
Modular degree for the optimal curve |
Δ |
-4100196026234843136 = -1 · 212 · 323 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 4 7 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,316923,-69209811] |
[a1,a2,a3,a4,a6] |
j |
2505702744756224/2918438543637 |
j-invariant |
L |
2.3902618203822 |
L(r)(E,1)/r! |
Ω |
0.1327923215163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557l1 72912co1 |
Quadratic twists by: -4 -7 |