Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424cq |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-738550320463872 = -1 · 223 · 311 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12993,-1430721] |
[a1,a2,a3,a4,a6] |
Generators |
[165:972:1] |
Generators of the group modulo torsion |
j |
-925434168625/2817345888 |
j-invariant |
L |
8.2984166429551 |
L(r)(E,1)/r! |
Ω |
0.20654265000872 |
Real period |
R |
1.8262608537337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424a1 23856u1 |
Quadratic twists by: -4 8 |