Atkin-Lehner |
2+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800w |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-2363990300000000 = -1 · 28 · 58 · 73 · 413 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 2 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19625,-2086250] |
[a1,a2,a3,a4,a6] |
Generators |
[301:5576:1] |
Generators of the group modulo torsion |
j |
8358968880/23639903 |
j-invariant |
L |
3.983463106241 |
L(r)(E,1)/r! |
Ω |
0.23604471551777 |
Real period |
R |
2.8126472720665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998873352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400n1 114800q1 |
Quadratic twists by: -4 5 |