Atkin-Lehner |
3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104181j |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7309440 |
Modular degree for the optimal curve |
Δ |
241338766003818021 = 35 · 79 · 114 · 412 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 11- 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13062474,18175650932] |
[a1,a2,a3,a4,a6] |
Generators |
[2125:3013:1] |
Generators of the group modulo torsion |
j |
16835628030740456599552/16483762448181 |
j-invariant |
L |
3.7115674390147 |
L(r)(E,1)/r! |
Ω |
0.26218868667048 |
Real period |
R |
0.78644961593547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999574074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181g1 |
Quadratic twists by: -11 |