Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430el |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-181796731361280000 = -1 · 214 · 38 · 54 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,75622,-18906919] |
[a1,a2,a3,a4,a6] |
Generators |
[465:-11033:1] |
Generators of the group modulo torsion |
j |
557644990391/2119680000 |
j-invariant |
L |
9.2636931431423 |
L(r)(E,1)/r! |
Ω |
0.16254050908579 |
Real period |
R |
1.0177345497068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810bp1 2070s1 |
Quadratic twists by: -3 -7 |