Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800c |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
53723655000000000 = 29 · 37 · 510 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95208,1901412] |
[a1,a2,a3,a4,a6] |
Generators |
[16:618:1] |
Generators of the group modulo torsion |
j |
19088798600/10744731 |
j-invariant |
L |
3.0808361161998 |
L(r)(E,1)/r! |
Ω |
0.30569164144488 |
Real period |
R |
5.0391239054515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800br1 81600dd1 122400ds1 40800cb1 |
Quadratic twists by: -4 8 -3 5 |