Atkin-Lehner |
5+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
103075i |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-27915114546484375 = -1 · 58 · 72 · 196 · 31 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-285001,-59134977] |
[a1,a2,a3,a4,a6] |
Generators |
[5007249:229290777:2197] |
Generators of the group modulo torsion |
j |
-163847812333161601/1786567330975 |
j-invariant |
L |
4.3670738082663 |
L(r)(E,1)/r! |
Ω |
0.10324664743658 |
Real period |
R |
10.574371964415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20615f1 |
Quadratic twists by: 5 |