Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970br |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-642320320576550 = -1 · 2 · 52 · 73 · 11 · 237 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101620,-12570405] |
[a1,a2,a3,a4,a6] |
Generators |
[18094:842639:8] |
Generators of the group modulo torsion |
j |
-338350973924393767/1872653995850 |
j-invariant |
L |
7.6187633368084 |
L(r)(E,1)/r! |
Ω |
0.13365371096491 |
Real period |
R |
2.0358483693749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970ba1 |
Quadratic twists by: -7 |