Atkin-Lehner |
3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975be |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-101957427421875 = -1 · 38 · 57 · 193 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 6 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-78825,-8531969] |
[a1,a2,a3,a4,a6] |
Generators |
[9151610:168199637:17576] |
Generators of the group modulo torsion |
j |
-4755192426496/8950995 |
j-invariant |
L |
14.309881586447 |
L(r)(E,1)/r! |
Ω |
0.14244741501354 |
Real period |
R |
8.3714409499861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41325g1 24795i1 |
Quadratic twists by: -3 5 |