Atkin-Lehner |
2+ 7- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101626d |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
-99186976 = -1 · 25 · 72 · 17 · 612 |
Discriminant |
Eigenvalues |
2+ 0 1 7- -4 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-884,10352] |
[a1,a2,a3,a4,a6] |
Generators |
[13:24:1] [157:1851:1] |
Generators of the group modulo torsion |
j |
-1560129844329/2024224 |
j-invariant |
L |
8.4514090090498 |
L(r)(E,1)/r! |
Ω |
1.8887880284067 |
Real period |
R |
2.237257140823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626a1 |
Quadratic twists by: -7 |