Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bf |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-421044986494517616 = -1 · 24 · 313 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47553,30963053] |
[a1,a2,a3,a4,a6] |
Generators |
[4708:323433:1] |
Generators of the group modulo torsion |
j |
575511296/20376279 |
j-invariant |
L |
5.7802758341378 |
L(r)(E,1)/r! |
Ω |
0.22541958928997 |
Real period |
R |
3.205287006337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984be1 40656h1 11088x1 |
Quadratic twists by: -4 -3 -11 |