Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49588h |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
1382606259215104 = 28 · 79 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-407892,-100117016] |
[a1,a2,a3,a4,a6] |
Generators |
[-46030:-15778:125] [-366:98:1] |
Generators of the group modulo torsion |
j |
249190874485072/45906091 |
j-invariant |
L |
6.1976999966815 |
L(r)(E,1)/r! |
Ω |
0.18891566439303 |
Real period |
R |
0.91129729127686 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084f1 |
Quadratic twists by: -7 |