Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430ef |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-1643166000000000 = -1 · 210 · 36 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13523,-2038669] |
[a1,a2,a3,a4,a6] |
Generators |
[171:706:1] |
Generators of the group modulo torsion |
j |
-7655774616889/46000000000 |
j-invariant |
L |
11.137480525642 |
L(r)(E,1)/r! |
Ω |
0.19800548848406 |
Real period |
R |
2.8124171194333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270g1 101430er1 |
Quadratic twists by: -3 -7 |