Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cq |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-2431633556343750000 = -1 · 24 · 3 · 59 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122008,76838137] |
[a1,a2,a3,a4,a6] |
Generators |
[636:16003:1] |
Generators of the group modulo torsion |
j |
-30976/375 |
j-invariant |
L |
5.6753503576255 |
L(r)(E,1)/r! |
Ω |
0.2190412917576 |
Real period |
R |
6.4774891429915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520w1 72600j1 |
Quadratic twists by: 5 -11 |