Atkin-Lehner |
2- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642v |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1703808 |
Modular degree for the optimal curve |
Δ |
-298942988288 = -1 · 218 · 72 · 17 · 372 |
Discriminant |
Eigenvalues |
2- -1 -4 7- -3 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7043415,-7197806099] |
[a1,a2,a3,a4,a6] |
j |
-788637582736643952535489/6100877312 |
j-invariant |
L |
1.6681159597194 |
L(r)(E,1)/r! |
Ω |
0.046336554701998 |
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 |
61642q1 |
Quadratic twists by: -7 |