Atkin-Lehner |
3+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707f |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-6768581504139 = -1 · 38 · 73 · 133 · 372 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 2 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5712786,-5253668890] |
[a1,a2,a3,a4,a6] |
Generators |
[11898:1269229:1] |
Generators of the group modulo torsion |
j |
-60113710488916003852288/19733473773 |
j-invariant |
L |
1.7648697122673 |
L(r)(E,1)/r! |
Ω |
0.048826721436316 |
Real period |
R |
4.518196333836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70707q1 |
Quadratic twists by: -7 |