Atkin-Lehner |
2- 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41736f |
Isogeny class |
Conductor |
41736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167680 |
Modular degree for the optimal curve |
Δ |
-540656525924352 = -1 · 211 · 34 · 375 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19632,-1546848] |
[a1,a2,a3,a4,a6] |
Generators |
[956607:7034856:4913] |
Generators of the group modulo torsion |
j |
-408610495400546/263992444299 |
j-invariant |
L |
8.2220304454547 |
L(r)(E,1)/r! |
Ω |
0.19596595167189 |
Real period |
R |
10.489105856533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83472e1 125208e1 |
Quadratic twists by: -4 -3 |