Atkin-Lehner |
3+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117249d |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20736000 |
Modular degree for the optimal curve |
Δ |
-1.4833559753317E+25 |
Discriminant |
Eigenvalues |
-1 3+ 3 1 11- 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18854036,182611348118] |
[a1,a2,a3,a4,a6] |
Generators |
[12294432:1671762626:729] |
Generators of the group modulo torsion |
j |
418389325501837892903/8373157770642296049 |
j-invariant |
L |
5.0325303818609 |
L(r)(E,1)/r! |
Ω |
0.052403326121885 |
Real period |
R |
9.603455977044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10659d1 |
Quadratic twists by: -11 |