Atkin-Lehner |
3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705m |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
32595970640625 = 310 · 56 · 73 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 2 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70890,-7289178] |
[a1,a2,a3,a4,a6] |
j |
114864256033014727/95031984375 |
j-invariant |
L |
1.7556021374314 |
L(r)(E,1)/r! |
Ω |
0.29260035491605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705q1 |
Quadratic twists by: -7 |