Atkin-Lehner |
2- 3+ 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958i |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1247232 |
Modular degree for the optimal curve |
Δ |
1.7532628837551E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -6 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4185122,-3290996689] |
[a1,a2,a3,a4,a6] |
Generators |
[419445:17671127:125] |
Generators of the group modulo torsion |
j |
8106774380744416466517793/17532628837551046656 |
j-invariant |
L |
7.3594740657659 |
L(r)(E,1)/r! |
Ω |
0.10556718865396 |
Real period |
R |
2.9047354263207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53874e1 |
Quadratic twists by: -3 |