Atkin-Lehner |
2- 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480bu |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
198335692800000 = 218 · 34 · 55 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5146576,-4495639660] |
[a1,a2,a3,a4,a6] |
Generators |
[21794:3199296:1] |
Generators of the group modulo torsion |
j |
3680603373404967217489/48421800000 |
j-invariant |
L |
5.4510201165709 |
L(r)(E,1)/r! |
Ω |
0.10023512824836 |
Real period |
R |
6.7977916281372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999841405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810l1 |
Quadratic twists by: -4 |