Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344k |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-1027585778012352 = -1 · 26 · 39 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-355914,-81741582] |
[a1,a2,a3,a4,a6] |
Generators |
[15859168539770173796992212551:1066579119071501849235906705181:3444540861972708061000919] |
Generators of the group modulo torsion |
j |
-4852224 |
j-invariant |
L |
9.0249257184846 |
L(r)(E,1)/r! |
Ω |
0.097730005136551 |
Real period |
R |
46.172747591053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344l1 48672bf1 97344r1 97344t1 |
Quadratic twists by: -4 8 -3 13 |