Atkin-Lehner |
2+ 3- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110be |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
13142507947335000 = 23 · 38 · 54 · 136 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19918764,34221961048] |
[a1,a2,a3,a4,a6] |
Generators |
[2567:-2161:1] [-1723:252704:1] |
Generators of the group modulo torsion |
j |
1198901087852153958836929/18028131615000 |
j-invariant |
L |
8.4098029479768 |
L(r)(E,1)/r! |
Ω |
0.28343972645341 |
Real period |
R |
1.2362715014163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370v2 |
Quadratic twists by: -3 |