Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520r |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2813184 |
Modular degree for the optimal curve |
Δ |
831755134688492800 = 28 · 52 · 379 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 3 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-810448,-277375828] |
[a1,a2,a3,a4,a6] |
Generators |
[740802:122640670:27] |
Generators of the group modulo torsion |
j |
1769472/25 |
j-invariant |
L |
13.935009049363 |
L(r)(E,1)/r! |
Ω |
0.1592537836939 |
Real period |
R |
10.937737837367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999742683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27380b1 109520bf1 |
Quadratic twists by: -4 37 |