Atkin-Lehner |
2- 3- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970bv |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
71362684800 = 27 · 39 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2183,37631] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-578:1] [-35:282:1] |
Generators of the group modulo torsion |
j |
1577505447721/97891200 |
j-invariant |
L |
15.951562269055 |
L(r)(E,1)/r! |
Ω |
1.0757364829994 |
Real period |
R |
0.26479470646185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33990o1 |
Quadratic twists by: -3 |