Atkin-Lehner |
2- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
70300c |
Isogeny class |
Conductor |
70300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
53428000000 = 28 · 56 · 192 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 -3 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3733,88337] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:247:1] [7:250:1] |
Generators of the group modulo torsion |
j |
1438646272/13357 |
j-invariant |
L |
7.2132148105817 |
L(r)(E,1)/r! |
Ω |
1.1263044754836 |
Real period |
R |
0.5336933727073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2812b1 |
Quadratic twists by: 5 |