Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1839963989606400 = -1 · 236 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163681,-25626625] |
[a1,a2,a3,a4,a6] |
Generators |
[184361836163197:3305463201497088:288411730543] |
Generators of the group modulo torsion |
j |
-1850040570997081/7018905600 |
j-invariant |
L |
9.0959958739579 |
L(r)(E,1)/r! |
Ω |
0.11865092992582 |
Real period |
R |
19.16545428771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gf1 3570f1 |
Quadratic twists by: -4 8 |