Atkin-Lehner |
7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14651n |
Isogeny class |
Conductor |
14651 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-26042614945350731 = -1 · 78 · 135 · 233 |
Discriminant |
Eigenvalues |
-2 -3 -3 7- 3 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75019,11082930] |
[a1,a2,a3,a4,a6] |
Generators |
[-308:2229:1] [420:-7326:1] |
Generators of the group modulo torsion |
j |
-396870925750272/221358574619 |
j-invariant |
L |
2.0167855018846 |
L(r)(E,1)/r! |
Ω |
0.34943722349683 |
Real period |
R |
0.096192075250751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093a1 |
Quadratic twists by: -7 |