Atkin-Lehner |
2+ 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840y |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-1374255870336000 = -1 · 210 · 35 · 53 · 174 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7600,-1804252] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1530:1] |
Generators of the group modulo torsion |
j |
-47415646353604/1342046748375 |
j-invariant |
L |
9.1388615474164 |
L(r)(E,1)/r! |
Ω |
0.20883977910657 |
Real period |
R |
0.36466797603026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46920e1 |
Quadratic twists by: -4 |