Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380be |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18938880 |
Modular degree for the optimal curve |
Δ |
-481003312500000000 = -1 · 28 · 39 · 512 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1027474383,12676653448918] |
[a1,a2,a3,a4,a6] |
Generators |
[40657643:-281250:2197] |
Generators of the group modulo torsion |
j |
-642790170651404763366482896/2577392578125 |
j-invariant |
L |
4.5662620737008 |
L(r)(E,1)/r! |
Ω |
0.1406893652108 |
Real period |
R |
2.7046951198089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460l1 |
Quadratic twists by: -3 |