Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300r |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2609280 |
Modular degree for the optimal curve |
Δ |
484566300000000 = 28 · 36 · 58 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8882708,10192773912] |
[a1,a2,a3,a4,a6] |
Generators |
[109988:11475:64] |
Generators of the group modulo torsion |
j |
775103893688530000/4845663 |
j-invariant |
L |
7.0277654105667 |
L(r)(E,1)/r! |
Ω |
0.35906443010816 |
Real period |
R |
1.6310362897424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117300u1 |
Quadratic twists by: 5 |