Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664m |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-351861144949407744 = -1 · 214 · 37 · 73 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 0 -3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37051,-28419363] |
[a1,a2,a3,a4,a6] |
j |
343314268285952/21475899960291 |
j-invariant |
L |
0.72299214770287 |
L(r)(E,1)/r! |
Ω |
0.14459842956893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664ec1 5208e1 124992ch1 |
Quadratic twists by: -4 8 -3 |