Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980s |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
881280 |
Modular degree for the optimal curve |
Δ |
-116597426400000 = -1 · 28 · 36 · 55 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2461541,1485658695] |
[a1,a2,a3,a4,a6] |
j |
-225596176962617344/15946875 |
j-invariant |
L |
2.6901652494657 |
L(r)(E,1)/r! |
Ω |
0.44836087417569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70980y1 |
Quadratic twists by: 13 |