Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
116820u |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12856320 |
Modular degree for the optimal curve |
Δ |
-1893947980202784000 = -1 · 28 · 39 · 53 · 114 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-266205927,-1671762945746] |
[a1,a2,a3,a4,a6] |
Generators |
[105096391498:-11501363497140:4173281] |
Generators of the group modulo torsion |
j |
-11179165369540817985738064/10148469544125 |
j-invariant |
L |
7.4653042177569 |
L(r)(E,1)/r! |
Ω |
0.018688099116581 |
Real period |
R |
16.644514804106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38940l1 |
Quadratic twists by: -3 |