Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95700h |
Isogeny class |
Conductor |
95700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-379872058500000000 = -1 · 28 · 39 · 59 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,148092,-20003688] |
[a1,a2,a3,a4,a6] |
Generators |
[337:8250:1] |
Generators of the group modulo torsion |
j |
89795708880176/94968014625 |
j-invariant |
L |
3.8990779487475 |
L(r)(E,1)/r! |
Ω |
0.16304346213997 |
Real period |
R |
1.9928622575418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19140g1 |
Quadratic twists by: 5 |