Atkin-Lehner |
2+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770m |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-29291175061120 = -1 · 27 · 5 · 76 · 733 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4728,230336] |
[a1,a2,a3,a4,a6] |
Generators |
[50695:1013428:125] |
Generators of the group modulo torsion |
j |
99317171591/248970880 |
j-invariant |
L |
6.8426670704182 |
L(r)(E,1)/r! |
Ω |
0.46313721143316 |
Real period |
R |
7.3873000284772 |
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 |
730b1 |
Quadratic twists by: -7 |