Atkin-Lehner |
2+ 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350bp |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-377032031250 = -1 · 2 · 3 · 58 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 -5 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2451,55048] |
[a1,a2,a3,a4,a6] |
Generators |
[52:236:1] |
Generators of the group modulo torsion |
j |
-4166188105/965202 |
j-invariant |
L |
5.3376631686259 |
L(r)(E,1)/r! |
Ω |
0.90911477860651 |
Real period |
R |
0.48927294397474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350bw1 |
Quadratic twists by: 5 |