Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gy |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
39813120 |
Modular degree for the optimal curve |
Δ |
1.1457374522337E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-819936208,-9022460898412] |
[a1,a2,a3,a4,a6] |
Generators |
[402310894:1678995456:12167] |
Generators of the group modulo torsion |
j |
7620332490460668835709/14321718152921088 |
j-invariant |
L |
7.8972044148235 |
L(r)(E,1)/r! |
Ω |
0.028216527759168 |
Real period |
R |
11.661611506408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999745866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cf1 109200ep1 |
Quadratic twists by: -4 5 |