Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670i |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1367081380000 = -1 · 25 · 54 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 5 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8258,293556] |
[a1,a2,a3,a4,a6] |
Generators |
[60:92:1] |
Generators of the group modulo torsion |
j |
-529278808969/11620000 |
j-invariant |
L |
3.3616964164394 |
L(r)(E,1)/r! |
Ω |
0.85517409122744 |
Real period |
R |
0.24568801625634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810a1 |
Quadratic twists by: -7 |