Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95700g |
Isogeny class |
Conductor |
95700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
10690560 |
Modular degree for the optimal curve |
Δ |
7511106611250000 = 24 · 310 · 57 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-297705133,1977194511262] |
[a1,a2,a3,a4,a6] |
Generators |
[3415951:176175:343] |
Generators of the group modulo torsion |
j |
11671929971048586285285376/30044426445 |
j-invariant |
L |
6.636308178915 |
L(r)(E,1)/r! |
Ω |
0.19432362051812 |
Real period |
R |
1.4229502290124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140j1 |
Quadratic twists by: 5 |