Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430eb |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
27648000 |
Modular degree for the optimal curve |
Δ |
7.881263532965E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126747158,345312170277] |
[a1,a2,a3,a4,a6] |
Generators |
[-11415:557643:1] |
Generators of the group modulo torsion |
j |
2625564132023811051529/918925030195200000 |
j-invariant |
L |
10.138200065732 |
L(r)(E,1)/r! |
Ω |
0.056031172042293 |
Real period |
R |
3.0156428102762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810p1 14490bv1 |
Quadratic twists by: -3 -7 |