Atkin-Lehner |
2- 7+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95312l |
Isogeny class |
Conductor |
95312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-14613998336 = -1 · 28 · 72 · 23 · 373 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -6 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-677,-8711] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-518:1] [48:259:1] |
Generators of the group modulo torsion |
j |
-134242828288/57085931 |
j-invariant |
L |
6.0293348713285 |
L(r)(E,1)/r! |
Ω |
0.45840165897194 |
Real period |
R |
1.0960793067532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23828d1 |
Quadratic twists by: -4 |