Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dd |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12337920 |
Modular degree for the optimal curve |
Δ |
-4.7681892564074E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40193608,98655177712] |
[a1,a2,a3,a4,a6] |
Generators |
[1716:186368:1] |
Generators of the group modulo torsion |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
4.4541340140366 |
L(r)(E,1)/r! |
Ω |
0.1137762759542 |
Real period |
R |
1.957408938206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650bf1 4368y1 |
Quadratic twists by: -4 5 |