Atkin-Lehner |
5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925n |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-851992818037109375 = -1 · 510 · 119 · 37 |
Discriminant |
Eigenvalues |
1 -1 5+ 4 11- 1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,149675,38474000] |
[a1,a2,a3,a4,a6] |
Generators |
[-305708:8655282:2197] |
Generators of the group modulo torsion |
j |
21434375/49247 |
j-invariant |
L |
5.6398983173486 |
L(r)(E,1)/r! |
Ω |
0.19582381299 |
Real period |
R |
7.2002201892217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925v1 10175f1 |
Quadratic twists by: 5 -11 |