Atkin-Lehner |
5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925w |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-10905508070875 = -1 · 53 · 119 · 37 |
Discriminant |
Eigenvalues |
0 0 5- 1 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1210,158056] |
[a1,a2,a3,a4,a6] |
Generators |
[220:3327:1] [2530:45371:8] |
Generators of the group modulo torsion |
j |
884736/49247 |
j-invariant |
L |
9.7883616385532 |
L(r)(E,1)/r! |
Ω |
0.54744508900516 |
Real period |
R |
2.2350099191594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925u1 10175j1 |
Quadratic twists by: 5 -11 |