Atkin-Lehner |
7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
67081b |
Isogeny class |
Conductor |
67081 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
479520 |
Modular degree for the optimal curve |
Δ |
-413239695274351729 = -1 · 76 · 378 |
Discriminant |
Eigenvalues |
1 0 -1 7- -2 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,155125,20049882] |
[a1,a2,a3,a4,a6] |
j |
999 |
j-invariant |
L |
1.5757846982016 |
L(r)(E,1)/r! |
Ω |
0.19697308678516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1369b1 67081d1 |
Quadratic twists by: -7 37 |