Atkin-Lehner |
2+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690a |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
684000 |
Modular degree for the optimal curve |
Δ |
-374317729423640 = -1 · 23 · 5 · 199 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 0 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9860,-853624] |
[a1,a2,a3,a4,a6] |
Generators |
[50164832805:1425705385192:60698457] |
Generators of the group modulo torsion |
j |
328509/1160 |
j-invariant |
L |
7.8147608331001 |
L(r)(E,1)/r! |
Ω |
0.27288464694103 |
Real period |
R |
14.318799024976 |
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 |
104690u1 |
Quadratic twists by: -19 |