Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550cs |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
1.1170766196954E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5724450,1387696500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1740:78870:1] [-1324:82198:1] |
Generators of the group modulo torsion |
j |
90283180649381/48614372352 |
j-invariant |
L |
7.2560935601709 |
L(r)(E,1)/r! |
Ω |
0.11157350313504 |
Real period |
R |
2.7097583491534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550ks1 13650bl1 |
Quadratic twists by: 5 -7 |