Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bb |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
7250566348800000 = 218 · 38 · 55 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-795038,-272624083] |
[a1,a2,a3,a4,a6] |
Generators |
[1425:37843:1] |
Generators of the group modulo torsion |
j |
76235865006708840601/9945907200000 |
j-invariant |
L |
12.056796984576 |
L(r)(E,1)/r! |
Ω |
0.15988437569141 |
Real period |
R |
4.189415327984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470x1 |
Quadratic twists by: -3 |