Atkin-Lehner |
5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11935a |
Isogeny class |
Conductor |
11935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-191539125189890555 = -1 · 5 · 78 · 118 · 31 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 11+ -6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,135589,-8652669] |
[a1,a2,a3,a4,a6] |
Generators |
[67601:17576520:1] |
Generators of the group modulo torsion |
j |
275672777712693641216/191539125189890555 |
j-invariant |
L |
1.7551276528813 |
L(r)(E,1)/r! |
Ω |
0.18010566830316 |
Real period |
R |
2.4362471062363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107415s1 59675e1 83545h1 |
Quadratic twists by: -3 5 -7 |