Atkin-Lehner |
2+ 3+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482t |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-166987097232254208 = -1 · 28 · 38 · 72 · 133 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -3 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-548762,157469460] |
[a1,a2,a3,a4,a6] |
Generators |
[-620:16430:1] [-217:16430:1] |
Generators of the group modulo torsion |
j |
-372976062163451430649/3407899943515392 |
j-invariant |
L |
5.0353434353455 |
L(r)(E,1)/r! |
Ω |
0.32394145462723 |
Real period |
R |
0.32383317020344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118482w1 |
Quadratic twists by: -7 |