Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050o |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5385600 |
Modular degree for the optimal curve |
Δ |
-7.6554436608E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 -2 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3103242,-2489091084] |
[a1,a2,a3,a4,a6] |
Generators |
[10473882409251310140:1228270645324980124386:742668244546879] |
Generators of the group modulo torsion |
j |
-74168622330075/17179869184 |
j-invariant |
L |
5.8458685747272 |
L(r)(E,1)/r! |
Ω |
0.056183593418291 |
Real period |
R |
26.012347284395 |
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 |
76050ds1 76050eb1 76050dt1 |
Quadratic twists by: -3 5 13 |