Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800bw |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-11755520000000000 = -1 · 222 · 510 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -4 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18125,5131250] |
[a1,a2,a3,a4,a6] |
Generators |
[-842325:952265728:421875] |
Generators of the group modulo torsion |
j |
16462575/293888 |
j-invariant |
L |
13.343808352332 |
L(r)(E,1)/r! |
Ω |
0.29971500407435 |
Real period |
R |
11.130413973035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350c1 114800cf1 |
Quadratic twists by: -4 5 |