Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13794f |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
952957186080768 = 220 · 33 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42594,3022452] |
[a1,a2,a3,a4,a6] |
Generators |
[72745:1620783:125] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
3.4747399481229 |
L(r)(E,1)/r! |
Ω |
0.48010102346791 |
Real period |
R |
7.2375183102586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110352bv1 41382cm1 114c1 |
Quadratic twists by: -4 -3 -11 |