Atkin-Lehner |
3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62361j |
Isogeny class |
Conductor |
62361 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-35057244090843 = -1 · 311 · 136 · 41 |
Discriminant |
Eigenvalues |
-2 3- -4 2 -3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15717,-810144] |
[a1,a2,a3,a4,a6] |
Generators |
[377:6844:1] |
Generators of the group modulo torsion |
j |
-122023936/9963 |
j-invariant |
L |
1.8217966198174 |
L(r)(E,1)/r! |
Ω |
0.21220309926463 |
Real period |
R |
1.0731444464768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20787f1 369b1 |
Quadratic twists by: -3 13 |