Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925h |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
1884819701953125 = 33 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 1 2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-465908,-122231782] |
[a1,a2,a3,a4,a6] |
j |
124171177984/20925 |
j-invariant |
L |
0.36547610525628 |
L(r)(E,1)/r! |
Ω |
0.18273798287796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22785k1 113925cc1 |
Quadratic twists by: 5 -7 |