Atkin-Lehner |
2+ 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658br |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-152392507846656 = -1 · 212 · 3 · 77 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38442,2957980] |
[a1,a2,a3,a4,a6] |
Generators |
[106:224:1] [214:2024:1] |
Generators of the group modulo torsion |
j |
-53399495632393/1295314944 |
j-invariant |
L |
9.1489243550031 |
L(r)(E,1)/r! |
Ω |
0.57680017184516 |
Real period |
R |
7.9307572985048 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000010628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094b1 |
Quadratic twists by: -7 |