Atkin-Lehner |
3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40401a |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7992630097347364803 = -1 · 39 · 678 |
Discriminant |
Eigenvalues |
0 3+ 0 -4 0 -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-136020067] |
[a1,a2,a3,a4,a6] |
Generators |
[471345:28906853:125] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
2.7522937437895 |
L(r)(E,1)/r! |
Ω |
0.10709385463277 |
Real period |
R |
4.2833048220823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40401a1 40401b2 |
Quadratic twists by: -3 -67 |