Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525t |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-63809279901675 = -1 · 35 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9012,-194424] |
[a1,a2,a3,a4,a6] |
Generators |
[26:228:1] |
Generators of the group modulo torsion |
j |
15104375/11907 |
j-invariant |
L |
2.5443763952019 |
L(r)(E,1)/r! |
Ω |
0.3454503164748 |
Real period |
R |
3.6826951281753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525cf1 63525h1 |
Quadratic twists by: 5 -11 |