Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150by |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-76103931867955200 = -1 · 224 · 36 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152262,26479156] |
[a1,a2,a3,a4,a6] |
Generators |
[31020:232298:125] |
Generators of the group modulo torsion |
j |
-21420636414894985/4175798730752 |
j-invariant |
L |
3.2137564505862 |
L(r)(E,1)/r! |
Ω |
0.33012020875199 |
Real period |
R |
2.4337774243238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bb1 84150go1 |
Quadratic twists by: -3 5 |