Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
42350a |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
9.57419094016E+18 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1511692,700107216] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:16383:1] |
Generators of the group modulo torsion |
j |
18370278334948779/460366807040 |
j-invariant |
L |
3.7224087225867 |
L(r)(E,1)/r! |
Ω |
0.22951389905568 |
Real period |
R |
4.0546659024715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470v1 42350cc1 |
Quadratic twists by: 5 -11 |