Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200i |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-33868800 = -1 · 210 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315,-2170] |
[a1,a2,a3,a4,a6] |
j |
-102060 |
j-invariant |
L |
2.2651562686344 |
L(r)(E,1)/r! |
Ω |
0.56628906086951 |
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 |
88200eu1 88200ff1 88200b1 |
Quadratic twists by: -3 5 -7 |