Atkin-Lehner |
5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111265a |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-2433921875 = -1 · 56 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,329,502] |
[a1,a2,a3,a4,a6] |
Generators |
[56:437:1] [14:87:1] |
Generators of the group modulo torsion |
j |
13586038784/8421875 |
j-invariant |
L |
6.5668560581419 |
L(r)(E,1)/r! |
Ω |
0.89664745442965 |
Real period |
R |
1.8309470526034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111265o1 |
Quadratic twists by: 17 |