Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240bv |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2603520 |
Modular degree for the optimal curve |
Δ |
6469875000000000 = 29 · 36 · 512 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14498067,21247765274] |
[a1,a2,a3,a4,a6] |
Generators |
[2198:20:1] |
Generators of the group modulo torsion |
j |
902935088231125590152/17333984375 |
j-invariant |
L |
9.3738121194497 |
L(r)(E,1)/r! |
Ω |
0.30385842241823 |
Real period |
R |
2.5707729426454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240s1 11360b1 |
Quadratic twists by: -4 -3 |