Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23120z |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-112099988602880 = -1 · 228 · 5 · 174 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 -2 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19363,-1155422] |
[a1,a2,a3,a4,a6] |
Generators |
[191:1454:1] |
Generators of the group modulo torsion |
j |
-2346853689/327680 |
j-invariant |
L |
1.9748530945534 |
L(r)(E,1)/r! |
Ω |
0.20080414717198 |
Real period |
R |
4.9173613253665 |
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 |
2890f1 92480eo1 115600cm1 23120bl1 |
Quadratic twists by: -4 8 5 17 |