Atkin-Lehner |
3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37275c |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
-719295498293203125 = -1 · 36 · 57 · 7 · 715 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 5 -4 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-728938,242690156] |
[a1,a2,a3,a4,a6] |
Generators |
[530:2097:1] |
Generators of the group modulo torsion |
j |
-2741419489343595481/46034911890765 |
j-invariant |
L |
3.1252780799361 |
L(r)(E,1)/r! |
Ω |
0.28594399095178 |
Real period |
R |
2.7324215395604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111825o1 7455f1 |
Quadratic twists by: -3 5 |