Atkin-Lehner |
2+ 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7410c |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14560 |
Modular degree for the optimal curve |
Δ |
-771416901450 = -1 · 2 · 37 · 52 · 135 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2037,23967] |
[a1,a2,a3,a4,a6] |
Generators |
[41:402:1] |
Generators of the group modulo torsion |
j |
934036024855751/771416901450 |
j-invariant |
L |
2.6643918684256 |
L(r)(E,1)/r! |
Ω |
0.58020941936254 |
Real period |
R |
0.45921210161547 |
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 |
59280bs1 22230bu1 37050cb1 96330cs1 |
Quadratic twists by: -4 -3 5 13 |