Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262b |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3391488 |
Modular degree for the optimal curve |
Δ |
-1.7067460256922E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4903555,4696781757] |
[a1,a2,a3,a4,a6] |
Generators |
[15006:2345393:27] |
Generators of the group modulo torsion |
j |
7239460488625/9475854336 |
j-invariant |
L |
4.1255911524994 |
L(r)(E,1)/r! |
Ω |
0.082964688100233 |
Real period |
R |
6.2158842017044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786bj1 41262c1 |
Quadratic twists by: -3 -23 |