Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14950o |
Isogeny class |
Conductor |
14950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
14950000000000 = 210 · 511 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3 5+ 1 -4 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6292,-46384] |
[a1,a2,a3,a4,a6] |
Generators |
[-1032:10516:27] |
Generators of the group modulo torsion |
j |
1763228727441/956800000 |
j-invariant |
L |
6.1448173631542 |
L(r)(E,1)/r! |
Ω |
0.57160184629811 |
Real period |
R |
1.3437713250382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600bm1 2990g1 |
Quadratic twists by: -4 5 |